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31801336380 = 223251116061281
BaseRepresentation
bin11101100111100000…
…011110001000111100
310001002021211021100100
4131213200132020330
51010112120231010
622335341001100
72204031620262
oct354740361074
9101067737310
1031801336380
111253a030790
1261b6253190
132cca632508
14177978c432
15c61d482c0
hex76781e23c

31801336380 has 72 divisors (see below), whose sum is σ = 105233519664. Its totient is φ = 7709414400.

The previous prime is 31801336351. The next prime is 31801336381. The reversal of 31801336380 is 8363310813.

31801336380 is a `hidden beast` number, since 3 + 1 + 8 + 0 + 13 + 3 + 638 + 0 = 666.

It is a super-2 number, since 2×318013363802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31801336381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8028661 + ... + 8032620.

It is an arithmetic number, because the mean of its divisors is an integer number (1461576662).

Almost surely, 231801336380 is an apocalyptic number.

31801336380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31801336380 is an abundant number, since it is smaller than the sum of its proper divisors (73432183284).

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

31801336380 is a wasteful number, since it uses less digits than its factorization.

31801336380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16061307 (or 16061302 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31801336380 in words is "thirty-one billion, eight hundred one million, three hundred thirty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 16061281 32122562 48183843 64245124 80306405 96367686 144551529 160612810 176674091 192735372 240919215 289103058 321225620 353348182 481838430 530022273 578206116 706696364 722757645 883370455 963676860 1060044546 1445515290 1590066819 1766740910 2120089092 2650111365 2891030580 3180133638 3533481820 5300222730 6360267276 7950334095 10600445460 15900668190 31801336380