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232011031331100 = 223527569194167739
BaseRepresentation
bin110100110000001101000111…
…000110110100000100011100
31010102111001000200120100110010
4310300031013012310010130
5220402232043010043400
62141240221341243220
766604146433206210
oct6460150706640434
91112431020510403
10232011031331100
1167a2036474254a
1222031360b63510
139c5c714509938
144141572968940
151bc5215523450
hexd303471b411c

232011031331100 has 144 divisors (see below), whose sum is σ = 768531448339200. Its totient is φ = 52937892088320.

The previous prime is 232011031331089. The next prime is 232011031331111. The reversal of 232011031331100 is 1133130110232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232011031331089) and next prime (232011031331111).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95888970 + ... + 98278769.

It is an arithmetic number, because the mean of its divisors is an integer number (5337023946800).

Almost surely, 2232011031331100 is an apocalyptic number.

232011031331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232011031331100 is an abundant number, since it is smaller than the sum of its proper divisors (536520417008100).

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

232011031331100 is a wasteful number, since it uses less digits than its factorization.

232011031331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194168332 (or 194168325 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 232011031331100 its reverse (1133130110232), we get a palindrome (233144161441332).

The spelling of 232011031331100 in words is "two hundred thirty-two trillion, eleven billion, thirty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 569 700 1050 1138 1707 2100 2276 2845 3414 3983 5690 6828 7966 8535 11380 11949 14225 15932 17070 19915 23898 28450 34140 39830 42675 47796 56900 59745 79660 85350 99575 119490 170700 199150 238980 298725 398300 597450 1194900 194167739 388335478 582503217 776670956 970838695 1165006434 1359174173 1941677390 2330012868 2718348346 2912516085 3883354780 4077522519 4854193475 5436696692 5825032170 6795870865 8155045038 9708386950 11650064340 13591741730 14562580425 16310090076 19416773900 20387612595 27183483460 29125160850 33979354325 40775225190 58250321700 67958708650 81550450380 101938062975 110481443491 135917417300 203876125950 220962886982 331444330473 407752251900 441925773964 552407217455 662888660946 773370104437 1104814434910 1325777321892 1546740208874 1657221652365 2209628869820 2320110313311 2762036087275 3093480417748 3314443304730 3866850522185 4640220626622 5524072174550 6628886609460 7733701044370 8286108261825 9280441253244 11048144349100 11600551566555 15467402088740 16572216523650 19334252610925 23201103133110 33144433047300 38668505221850 46402206266220 58002757832775 77337010443700 116005515665550 232011031331100