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210000110202112 = 2883131211357559
BaseRepresentation
bin101111101111111001110101…
…111110001010110100000000
31000112112210222202020011021111
4233233321311332022310000
5210011120211202431422
62022344415132333104
762143002332455066
oct5757716576126400
91015483882204244
10210000110202112
1160a0460157689a
121b677518014194
139023c051c0749
1439c00b963c036
1519428b89eea77
hexbefe75f8ad00

210000110202112 has 144 divisors (see below), whose sum is σ = 429495785832960. Its totient is φ = 102454955366400.

The previous prime is 210000110202101. The next prime is 210000110202143. The reversal of 210000110202112 is 211202011000012.

It is a junction number, because it is equal to n+sod(n) for n = 210000110202092 and 210000110202101.

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, 587137189 + ... + 587494747.

It is an arithmetic number, because the mean of its divisors is an integer number (2982609623840).

Almost surely, 2210000110202112 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 210000110202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214747892916480).

210000110202112 is an abundant number, since it is smaller than the sum of its proper divisors (219495675630848).

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

210000110202112 is a wasteful number, since it uses less digits than its factorization.

210000110202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358000 (or 357986 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210000110202112 its reverse (211202011000012), we get a palindrome (421202121202124).

The spelling of 210000110202112 in words is "two hundred ten trillion, one hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 131 166 211 256 262 332 422 524 664 844 1048 1328 1688 2096 2656 3376 4192 5312 6752 8384 10624 10873 13504 16768 17513 21248 21746 27008 27641 33536 35026 43492 54016 55282 70052 86984 110564 140104 173968 221128 280208 347936 357559 442256 560416 695872 715118 884512 1120832 1391744 1430236 1769024 2241664 2294203 2783488 2860472 3538048 4483328 4588406 5720944 7076096 9176812 11441888 18353624 22883776 29677397 36707248 45767552 46840229 59354794 73414496 75444949 91535104 93680458 118709588 146828992 150889898 187360916 237419176 293657984 301779796 374721832 474838352 587315968 603559592 749443664 949676704 1207119184 1498887328 1899353408 2414238368 2997774656 3798706816 3887739007 4828476736 5995549312 6261930767 7597413632 7775478014 9656953472 9883288319 11991098624 12523861534 15550956028 19313906944 19766576638 25047723068 31101912056 39533153276 50095446136 62203824112 79066306552 100190892272 124407648224 158132613104 200381784544 248815296448 316265226208 400763569088 497630592896 632530452416 801527138176 820312930477 995261185792 1265060904832 1603054276352 1640625860954 2530121809664 3281251721908 6562503443816 13125006887632 26250013775264 52500027550528 105000055101056 210000110202112