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112012102220010 = 235231131798025727
BaseRepresentation
bin11001011101111111011001…
…100100000011100011101010
3112200121020210222212002220220
4121131333121210003203222
5104140201241132020020
61034121352133230510
732410415212301106
oct3135773144034352
9480536728762826
10112012102220010
113276607a60aaa3
1210690842492436
134a66907c0a455
141d935b3c1a906
15ce3a59e03240
hex65dfd99038ea

112012102220010 has 128 divisors (see below), whose sum is σ = 284580757831680. Its totient is φ = 28160153742336.

The previous prime is 112012102219943. The next prime is 112012102220047. The reversal of 112012102220010 is 10022201210211.

It is a super-2 number, since 2×1120121022200102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9943767 + ... + 17969493.

It is an arithmetic number, because the mean of its divisors is an integer number (2223287170560).

Almost surely, 2112012102220010 is an apocalyptic number.

112012102220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112012102220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142290378915840).

112012102220010 is an abundant number, since it is smaller than the sum of its proper divisors (172568655611670).

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

112012102220010 is a wasteful number, since it uses less digits than its factorization.

112012102220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026052.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112012102220010 its reverse (10022201210211), we get a palindrome (122034303430221).

The spelling of 112012102220010 in words is "one hundred twelve trillion, twelve billion, one hundred two million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 113 115 138 179 226 230 339 345 358 537 565 678 690 895 1074 1130 1695 1790 2599 2685 3390 4117 5198 5370 7797 8234 12351 12995 15594 20227 20585 24702 25990 38985 40454 41170 60681 61755 77970 101135 121362 123510 202270 303405 465221 606810 930442 1395663 2326105 2791326 4652210 6978315 8025727 13956630 16051454 24077181 40128635 48154362 80257270 120385905 184591721 240771810 369183442 553775163 906907151 922958605 1107550326 1436605133 1813814302 1845917210 2720721453 2768875815 2873210266 4309815399 4534535755 5441442906 5537751630 7183025665 8619630798 9069071510 13603607265 14366051330 20858864473 21549076995 27207214530 33041918059 41717728946 43098153990 62576593419 66083836118 99125754177 104294322365 125153186838 162336380029 165209590295 198251508354 208588644730 312882967095 324672760058 330419180590 487009140087 495628770885 625765934190 811681900145 974018280174 991257541770 1623363800290 2435045700435 3733736740667 4870091400870 7467473481334 11201210222001 18668683703335 22402420444002 37337367406670 56006051110005 112012102220010