Search a number
-
+
102300121020 = 223529433135781
BaseRepresentation
bin101111101000110001…
…1111111011110111100
3100210001110201121010010
41133101203333132330
53134002312333040
6114555050343220
710251043452456
oct1372143773674
9323043647103
10102300121020
113a42682a069
12179b012ab10
1398541c79b6
144d467212d6
1529db131e80
hex17d18ff7bc

102300121020 has 96 divisors (see below), whose sum is σ = 297004115520. Its totient is φ = 26278318080.

The previous prime is 102300120919. The next prime is 102300121109. The reversal of 102300121020 is 20121003201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102300120987 and 102300121005.

It is a congruent number.

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, 685530 + ... + 821310.

It is an arithmetic number, because the mean of its divisors is an integer number (3093792870).

Almost surely, 2102300121020 is an apocalyptic number.

102300121020 is a gapful number since it is divisible by the number (10) 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 102300121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148502057760).

102300121020 is an abundant number, since it is smaller than the sum of its proper divisors (194703994500).

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

102300121020 is a wasteful number, since it uses less digits than its factorization.

102300121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136255 (or 136253 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102300121020 its reverse (20121003201), we get a palindrome (122421124221).

The spelling of 102300121020 in words is "one hundred two billion, three hundred million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 433 435 580 866 870 1299 1732 1740 2165 2598 4330 5196 6495 8660 12557 12990 25114 25980 37671 50228 62785 75342 125570 135781 150684 188355 251140 271562 376710 407343 543124 678905 753420 814686 1357810 1629372 2036715 2715620 3937649 4073430 7875298 8146860 11812947 15750596 19688245 23625894 39376490 47251788 58793173 59064735 78752980 117586346 118129470 176379519 235172692 236258940 293965865 352759038 587931730 705518076 881897595 1175863460 1705002017 1763795190 3410004034 3527590380 5115006051 6820008068 8525010085 10230012102 17050020170 20460024204 25575030255 34100040340 51150060510 102300121020