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232102221312 = 2931338929881
BaseRepresentation
bin1101100000101001011…
…1101101011000000000
3211012002121021111101010
43120022113231120000
512300321132040222
6254343140040520
722524465220653
oct3301227553000
9735077244333
10232102221312
118a485720215
1238b96693140
1318b6c09c1c0
14b33b7d389a
15608690380c
hex360a5ed600

232102221312 has 160 divisors (see below), whose sum is σ = 667633206240. Its totient is φ = 71230095360.

The previous prime is 232102221289. The next prime is 232102221313. The reversal of 232102221312 is 213122201232.

It is a super-2 number, since 2×2321022213122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232102221313) 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, 7752612 + ... + 7782492.

It is an arithmetic number, because the mean of its divisors is an integer number (4172707539).

Almost surely, 2232102221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232102221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333816603120).

232102221312 is an abundant number, since it is smaller than the sum of its proper divisors (435530984928).

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

232102221312 is a wasteful number, since it uses less digits than its factorization.

232102221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30304 (or 30288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 232102221312 its reverse (213122201232), we get a palindrome (445224422544).

The spelling of 232102221312 in words is "two hundred thirty-two billion, one hundred two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 389 416 512 624 768 778 832 1167 1248 1536 1556 1664 2334 2496 3112 3328 4668 4992 5057 6224 6656 9336 9984 10114 12448 15171 18672 19968 20228 24896 29881 30342 37344 40456 49792 59762 60684 74688 80912 89643 99584 119524 121368 149376 161824 179286 199168 239048 242736 298752 323648 358572 388453 478096 485472 597504 647296 717144 776906 956192 970944 1165359 1294592 1434288 1553812 1912384 1941888 2330718 2589184 2868576 3107624 3824768 3883776 4661436 5737152 6215248 7649536 7767552 9322872 11474304 11623709 12430496 15299072 18645744 22948608 23247418 24860992 34871127 37291488 45897216 46494836 49721984 69742254 74582976 92989672 99443968 139484508 149165952 151108217 185979344 198887936 278969016 298331904 302216434 371958688 453324651 557938032 596663808 604432868 743917376 906649302 1115876064 1208865736 1487834752 1813298604 2231752128 2417731472 2975669504 3626597208 4463504256 4835462944 5951339008 7253194416 8927008512 9670925888 14506388832 17854017024 19341851776 29012777664 38683703552 58025555328 77367407104 116051110656 232102221312