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102230430432 = 25313257318737
BaseRepresentation
bin101111100110101101…
…0001001001011100000
3100202212121120221121020
41133031122021023200
53133331442233212
6114544120525440
710246236215064
oct1371532111340
9322777527536
10102230430432
113a3a045a539
1217990920880
139842936c70
144d3b37daa4
1529d4e67d8c
hex17cd6892e0

102230430432 has 96 divisors (see below), whose sum is σ = 290122977312. Its totient is φ = 31333023744.

The previous prime is 102230430431. The next prime is 102230430437. The reversal of 102230430432 is 234034032201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102230430431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161368 + ... + 480104.

It is an arithmetic number, because the mean of its divisors is an integer number (3022114347).

Almost surely, 2102230430432 is an apocalyptic number.

102230430432 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 102230430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061488656).

102230430432 is an abundant number, since it is smaller than the sum of its proper divisors (187892546880).

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

102230430432 is a wasteful number, since it uses less digits than its factorization.

102230430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319020 (or 319012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 102230430432 its reverse (234034032201), we get a palindrome (336264462633).

The spelling of 102230430432 in words is "one hundred two billion, two hundred thirty million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 257 312 416 514 624 771 1028 1248 1542 2056 3084 3341 4112 6168 6682 8224 10023 12336 13364 20046 24672 26728 40092 53456 80184 106912 160368 318737 320736 637474 956211 1274948 1912422 2549896 3824844 4143581 5099792 7649688 8287162 10199584 12430743 15299376 16574324 24861486 30598752 33148648 49722972 66297296 81915409 99445944 132594592 163830818 198891888 245746227 327661636 397783776 491492454 655323272 982984908 1064900317 1310646544 1965969816 2129800634 2621293088 3194700951 3931939632 4259601268 6389401902 7863879264 8519202536 12778803804 17038405072 25557607608 34076810144 51115215216 102230430432