Search a number
-
+
23100112332 = 2234116796739
BaseRepresentation
bin10101100000110111…
…111011110111001100
32012121212221021220000
4111200313323313030
5334302112043312
614340111324300
71445304500163
oct254067736714
965555837800
1023100112332
119884458330
124588220690
132241a41b2b
141191d0c3da
15902ed7adc
hex560dfbdcc

23100112332 has 120 divisors (see below), whose sum is σ = 66862044480. Its totient is φ = 6895484640.

The previous prime is 23100112309. The next prime is 23100112351. The reversal of 23100112332 is 23321100132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190419 + ... + 287157.

It is an arithmetic number, because the mean of its divisors is an integer number (557183704).

Almost surely, 223100112332 is an apocalyptic number.

23100112332 is a gapful number since it is divisible by the number (22) 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 23100112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33431022240).

23100112332 is an abundant number, since it is smaller than the sum of its proper divisors (43761932148).

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

23100112332 is a wasteful number, since it uses less digits than its factorization.

23100112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96833 (or 96822 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23100112332 its reverse (23321100132), we get a palindrome (46421212464).

The spelling of 23100112332 in words is "twenty-three billion, one hundred million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 81 99 108 132 134 162 198 201 268 297 324 396 402 594 603 737 804 891 1188 1206 1474 1782 1809 2211 2412 2948 3564 3618 4422 5427 6633 7236 8844 10854 13266 19899 21708 26532 39798 59697 79596 96739 119394 193478 238788 290217 386956 580434 870651 1064129 1160868 1741302 2128258 2611953 3192387 3482604 4256516 5223906 6384774 6481513 7835859 9577161 10447812 12769548 12963026 15671718 19154322 19444539 25926052 28731483 31343436 38308644 38889078 57462966 58333617 71296643 77778156 86194449 114925932 116667234 142593286 172388898 175000851 213889929 233334468 285186572 344777796 350001702 427779858 525002553 641669787 700003404 855559716 1050005106 1283339574 1925009361 2100010212 2566679148 3850018722 5775028083 7700037444 11550056166 23100112332