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31222042112 = 293771139167
BaseRepresentation
bin11101000100111110…
…101000111000000000
32222120220210002000002
4131010332220320000
51002420320321422
622202044415132
72153465656562
oct350476507000
988526702002
1031222042112
1112272035398
1260742474a8
132c37606341
141722875332
15c2b06a692
hex744fa8e00

31222042112 has 160 divisors (see below), whose sum is σ = 65830786560. Its totient is φ = 14778408960.

The previous prime is 31222042079. The next prime is 31222042133. The reversal of 31222042112 is 21124022213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186958253 + ... + 186958419.

It is an arithmetic number, because the mean of its divisors is an integer number (411442416).

Almost surely, 231222042112 is an apocalyptic number.

31222042112 is a gapful number since it is divisible by the number (32) 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 31222042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32915393280).

31222042112 is an abundant number, since it is smaller than the sum of its proper divisors (34608744448).

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

31222042112 is a wasteful number, since it uses less digits than its factorization.

31222042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31222042112 its reverse (21124022213), we get a palindrome (52346064325).

The spelling of 31222042112 in words is "thirty-one billion, two hundred twenty-two million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 71 74 128 139 142 148 167 256 278 284 296 334 512 556 568 592 668 1112 1136 1184 1336 2224 2272 2368 2627 2672 4448 4544 4736 5143 5254 5344 6179 8896 9088 9472 9869 10286 10508 10688 11857 12358 17792 18176 18944 19738 20572 21016 21376 23213 23714 24716 35584 36352 39476 41144 42032 42752 46426 47428 49432 71168 78952 82288 84064 85504 92852 94856 98864 157904 164576 168128 185704 189712 197728 315808 329152 336256 365153 371408 379424 395456 438709 631616 658304 672512 730306 742816 758848 790912 858881 877418 1263232 1316608 1345024 1460612 1485632 1517696 1581824 1648123 1717762 1754836 2526464 2633216 2921224 2971264 3035392 3163648 3296246 3435524 3509672 5052928 5842448 5942528 6070784 6592492 6871048 7019344 11684896 11885056 13184984 13742096 14038688 23369792 26369968 27484192 28077376 46739584 52739936 54968384 56154752 60980551 93479168 105479872 109936768 112309504 121961102 186958336 210959744 219873536 224619008 243922204 421919488 439747072 487844408 843838976 975688816 1951377632 3902755264 7805510528 15611021056 31222042112