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212102212022112 = 2539735836357047
BaseRepresentation
bin110000001110011111100101…
…000000001110111101100000
31000210222202212211122212111110
4300032133211000032331200
5210300040312234201422
62031034224441543320
762450610353225556
oct6016374500167540
91023882784585443
10212102212022112
11616450522141a5
121b9569b57a4b40
1391471ca83b909
143a53b3234dbd6
15197c3ea4dd60c
hexc0e7e500ef60

212102212022112 has 96 divisors (see below), whose sum is σ = 562665268150272. Its totient is φ = 69952323907584.

The previous prime is 212102212022101. The next prime is 212102212022171. The reversal of 212102212022112 is 211220212201212.

It is a tau number, because it is divible by the number of its divisors (96).

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, 30186373 + ... + 36543419.

It is an arithmetic number, because the mean of its divisors is an integer number (5861096543232).

Almost surely, 2212102212022112 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 212102212022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281332634075136).

212102212022112 is an abundant number, since it is smaller than the sum of its proper divisors (350563056128160).

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

212102212022112 is a wasteful number, since it uses less digits than its factorization.

212102212022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6360740 (or 6360732 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 212102212022112 its reverse (211220212201212), we get a palindrome (423322424223324).

The spelling of 212102212022112 in words is "two hundred twelve trillion, one hundred two billion, two hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 3583 4656 7166 9312 10749 14332 21498 28664 42996 57328 85992 114656 171984 343968 347551 695102 1042653 1390204 2085306 2780408 4170612 5560816 6357047 8341224 11121632 12714094 16682448 19071141 25428188 33364896 38142282 50856376 76284564 101712752 152569128 203425504 305138256 610276512 616633559 1233267118 1849900677 2466534236 3699801354 4933068472 7399602708 9866136944 14799205416 19732273888 22777299401 29598410832 45554598802 59196821664 68331898203 91109197604 136663796406 182218395208 273327592812 364436790416 546655185624 728873580832 1093310371248 2186620742496 2209398041897 4418796083794 6628194125691 8837592167588 13256388251382 17675184335176 26512776502764 35350368670352 53025553005528 70700737340704 106051106011056 212102212022112