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201231333112212 = 2232132940513660071
BaseRepresentation
bin101101110000010011010010…
…001000001011100110010100
3222101111112020121010012002100
4231300103102020023212110
5202333433232234042322
61551552222003242100
760246325012140114
oct5560232210134624
9871445217105070
10201231333112212
11591338024a73a7
121a69bb92379330
13883905819b370
143799911657044
15183e74e934dac
hexb704d220b994

201231333112212 has 144 divisors (see below), whose sum is σ = 566825980855680. Its totient is φ = 59767479072000.

The previous prime is 201231333112153. The next prime is 201231333112247. The reversal of 201231333112212 is 212211333132102.

201231333112212 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 1 + 333 + 112 + 212 = 666.

It is a super-2 number, since 2×2012313331122122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53150137 + ... + 56810207.

It is an arithmetic number, because the mean of its divisors is an integer number (3936291533720).

Almost surely, 2201231333112212 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 201231333112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283412990427840).

201231333112212 is an abundant number, since it is smaller than the sum of its proper divisors (365594647743468).

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

201231333112212 is a wasteful number, since it uses less digits than its factorization.

201231333112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664174 (or 3664169 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 201231333112212 its reverse (212211333132102), we get a palindrome (413442666244314).

The spelling of 201231333112212 in words is "two hundred one trillion, two hundred thirty-one billion, three hundred thirty-three million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4051 4524 6786 8102 12153 13572 16204 24306 36459 48612 52663 72918 105326 117479 145836 157989 210652 234958 315978 352437 469916 473967 631956 704874 947934 1057311 1409748 1527227 1895868 2114622 3054454 3660071 4229244 4581681 6108908 7320142 9163362 10980213 13745043 14640284 18326724 21960426 27490086 32940639 43920852 47580923 54980172 65881278 95161846 106142059 131762556 142742769 190323692 212284118 285485538 318426177 424568236 428228307 570971076 636852354 856456614 955278531 1273704708 1379846767 1712913228 1910557062 2759693534 3821114124 4139540301 5519387068 8279080602 12418620903 14826947621 16558161204 24837241806 29653895242 44480842863 49674483612 59307790484 88961685726 133442528589 177923371452 192750319073 266885057178 385500638146 429981481009 533770114356 578250957219 771001276292 859962962018 1156501914438 1289944443027 1719925924036 1734752871657 2313003828876 2579888886054 3469505743314 3869833329081 5159777772108 5589759253117 6939011486628 7739666658162 11179518506234 15479333316324 16769277759351 22359037012468 33538555518702 50307833278053 67077111037404 100615666556106 201231333112212