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211120200102102 = 2319234117321113381
BaseRepresentation
bin110000000000001101000000…
…100010000011000011010110
31000200111220010201222120212020
4300000031000202003003112
5210132443132211231402
62025003140410234010
762316634240514454
oct6000150042030326
91020456121876766
10211120200102102
11612a663507a015
121b818613a25906
1390a571b18bbb5
143a1c3b4d0d9d4
151961ac30788bc
hexc003408830d6

211120200102102 has 128 divisors (see below), whose sum is σ = 475131606727680. Its totient is φ = 62211333888000.

The previous prime is 211120200102101. The next prime is 211120200102103. The reversal of 211120200102102 is 201201002021112.

It is an interprime number because it is at equal distance from previous prime (211120200102101) and next prime (211120200102103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120200102101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1861985452 + ... + 1862098832.

It is an arithmetic number, because the mean of its divisors is an integer number (3711965677560).

Almost surely, 2211120200102102 is an apocalyptic number.

211120200102102 is an abundant number, since it is smaller than the sum of its proper divisors (264011406625578).

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

211120200102102 is a wasteful number, since it uses less digits than its factorization.

211120200102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130790.

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

Adding to 211120200102102 its reverse (201201002021112), we get a palindrome (412321202123214).

The spelling of 211120200102102 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 19 23 38 41 46 57 69 82 114 123 138 246 437 779 874 943 1311 1558 1886 2337 2622 2829 4674 5658 17321 17917 34642 35834 51963 53751 103926 107502 113381 226762 329099 340143 398383 658198 680286 710161 796766 987297 1195149 1420322 1974594 2130483 2154239 2390298 2607763 4260966 4308478 4648621 5215526 6462717 7569277 7823289 9297242 12925434 13493059 13945863 15138554 15646578 16333703 22707831 26986118 27891726 32667406 40479177 45415662 49001109 49547497 80958354 88323799 98002218 99094994 106918283 148642491 176647598 213836566 264971397 297284982 310340357 320754849 529942794 620680714 641509698 931021071 1862042142 1963872301 2031447377 3927744602 4062894754 5891616903 6094342131 11783233806 12188684262 37313573719 45169062923 74627147438 80518764341 90338125846 111940721157 135507188769 161037528682 223881442314 241556293023 271014377538 483112586046 858212195537 1529856522479 1716424391074 1851931579843 2574636586611 3059713044958 3703863159686 4589569567437 5149273173222 5555794739529 9179139134874 11111589479058 35186700017017 70373400034034 105560100051051 211120200102102