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212112000131001 = 319293147190746183
BaseRepresentation
bin110000001110101000101100…
…011010111001111110111001
31000211000201010222201022122220
4300032220230122321332321
5210300220334013143001
62031042524015034253
762451405045616305
oct6016505432717671
91024021128638586
10212112000131001
1161649215364293
121b95888780b989
1391480ca66a519
143a543c02b6d05
15197c7be993c36
hexc0ea2c6b9fb9

212112000131001 has 128 divisors (see below), whose sum is σ = 324842147020800. Its totient is φ = 122443363687680.

The previous prime is 212112000130951. The next prime is 212112000131041. The reversal of 212112000131001 is 100131000211212.

It is not a de Polignac number, because 212112000131001 - 211 = 212112000128953 is a prime.

It is a super-2 number, since 2×2121120001310012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212112000131041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4592835756 + ... + 4592881938.

It is an arithmetic number, because the mean of its divisors is an integer number (2537829273600).

Almost surely, 2212112000131001 is an apocalyptic number.

It is an amenable number.

212112000131001 is a deficient number, since it is larger than the sum of its proper divisors (112730146889799).

212112000131001 is a wasteful number, since it uses less digits than its factorization.

212112000131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48219.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212112000131001 its reverse (100131000211212), we get a palindrome (312243000342213).

The spelling of 212112000131001 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred thirty-one thousand, one".

Divisors: 1 3 19 29 31 47 57 87 93 141 551 589 893 899 1363 1457 1653 1767 1907 2679 2697 4089 4371 5721 17081 25897 27683 36233 42253 46183 51243 55303 59117 77691 83049 89629 108699 126759 138549 165909 177351 268887 802807 877477 1050757 1123223 1339307 1431673 1702951 1714393 2170601 2408421 2599241 2632431 2778499 3152271 3369669 4017921 4295019 5108853 5143179 6511803 7797723 8335497 25446833 27201787 32573467 41241419 41518517 49385579 52791481 62947429 67288631 76340499 80576471 81605361 88070981 97720401 123724257 124555551 148156737 158374443 188842287 201865893 241729413 264212943 788851823 1196001151 1278483989 1530952949 1673348639 1951370299 2366555469 2554058449 2730200411 3588003453 3835451967 4139336107 4592858847 5020045917 5854110897 7662175347 8190601233 12418008321 37076035681 48527110531 51873807809 78647386033 79175811919 111228107043 120040747103 128319419317 145581331593 155621423427 235942158099 237527435757 360122241309 384958257951 1504340426461 2280774194957 2438068967023 3721263160193 4513021279383 6842322584871 7314206901069 11163789480579 70704000043667 212112000131001