Search a number
-
+
102223326346512 = 2437659757609859
BaseRepresentation
bin10111001111100010111001…
…000011011111110100010000
3111101221110021101002020120220
4113033202321003133310100
5101344311333021042022
61001224425310233040
730350251215234420
oct2717427103376420
9441843241066526
10102223326346512
112a63173a847588
12b56b6951b5780
13450680657c487
141b358c7742480
15bc40e39e685c
hex5cf8b90dfd10

102223326346512 has 160 divisors (see below), whose sum is σ = 302659954713600. Its totient is φ = 29123773668864.

The previous prime is 102223326346499. The next prime is 102223326346613. The reversal of 102223326346512 is 215643623322201.

It is a super-2 number, since 2×1022233263465122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167313039 + ... + 167922897.

It is an arithmetic number, because the mean of its divisors is an integer number (1891624716960).

Almost surely, 2102223326346512 is an apocalyptic number.

102223326346512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102223326346512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151329977356800).

102223326346512 is an abundant number, since it is smaller than the sum of its proper divisors (200436628367088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102223326346512 is a wasteful number, since it uses less digits than its factorization.

102223326346512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611293 (or 611287 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 102223326346512 its reverse (215643623322201), we get a palindrome (317866949668713).

The spelling of 102223326346512 in words is "one hundred two trillion, two hundred twenty-three billion, three hundred twenty-six million, three hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 659 757 1318 1514 1977 2271 2636 3028 3954 4542 4613 5272 5299 6056 7908 9084 9226 10544 10598 12112 13839 15816 15897 18168 18452 21196 27678 31632 31794 36336 36904 42392 55356 63588 73808 84784 110712 127176 221424 254352 498863 609859 997726 1219718 1496589 1829577 1995452 2439436 2993178 3492041 3659154 3990904 4269013 4878872 5986356 6984082 7318308 7981808 8538026 9757744 10476123 11972712 12807039 13968164 14636616 17076052 20952246 23945424 25614078 27936328 29273232 34152104 41904492 51228156 55872656 68304208 83808984 102456312 167617968 204912624 401897081 461663263 803794162 923326526 1205691243 1384989789 1607588324 1846653052 2411382486 2769979578 2813279567 3215176648 3231642841 3693306104 4822764972 5539959156 5626559134 6430353296 6463285682 7386612208 8439838701 9645529944 9694928523 11079918312 11253118268 12926571364 16879677402 19291059888 19389857046 22159836624 22506236536 25853142728 33759354804 38779714092 45012473072 51706285456 67518709608 77559428184 135037419216 155118856368 304236090317 608472180634 912708270951 1216944361268 1825416541902 2129652632219 2433888722536 3650833083804 4259305264438 4867777445072 6388957896657 7301666167608 8518610528876 12777915793314 14603332335216 17037221057752 25555831586628 34074442115504 51111663173256 102223326346512