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214012302424011 = 327135935251125641
BaseRepresentation
bin110000101010010010011111…
…010000110111011111001011
31001001202101011022201220102200
4300222102133100313133023
5211022334143410032021
62035055521112131243
763035610234605520
oct6052223720673713
91031671138656380
10214012302424011
116221112047a203
1220005027096b23
139255372c13860
143abc371d15147
1519b1e4004a126
hexc2a49f4377cb

214012302424011 has 96 divisors (see below), whose sum is σ = 386928952650240. Its totient is φ = 110968263360000.

The previous prime is 214012302424007. The next prime is 214012302424061. The reversal of 214012302424011 is 110424203210412.

214012302424011 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 1 + 230 + 2 + 424 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 214012302424011 - 22 = 214012302424007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214012302424061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1703300751 + ... + 1703426391.

It is an arithmetic number, because the mean of its divisors is an integer number (4030509923440).

Almost surely, 2214012302424011 is an apocalyptic number.

214012302424011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214012302424011 is a deficient number, since it is larger than the sum of its proper divisors (172916650226229).

214012302424011 is a wasteful number, since it uses less digits than its factorization.

214012302424011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160977 (or 160974 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 214012302424011 its reverse (110424203210412), we get a palindrome (324436505634423).

The spelling of 214012302424011 in words is "two hundred fourteen trillion, twelve billion, three hundred two million, four hundred twenty-four thousand, eleven".

Divisors: 1 3 7 9 13 21 39 59 63 91 117 177 273 413 531 767 819 1239 2301 3717 5369 6903 16107 35251 48321 105753 125641 246757 317259 376923 458263 740271 879487 1130769 1374789 1633333 2079809 2220813 2638461 3207841 4124367 4899999 6239427 7412819 7915383 9623523 11433331 14558663 14699997 18718281 22238457 27037517 28870569 34299993 43675989 51889733 66715371 81112551 96366647 102899979 131027967 155669199 189262619 243337653 289099941 467007597 567787857 674566529 867299823 1703363571 2023699587 4428970891 6071098761 13286912673 31002796237 39860738019 57576621583 93008388711 172729864749 261309282569 279025166133 403036351081 518189594247 783927847707 1209109053243 1829164977983 2351783543121 3397020673397 3627327159729 5487494933949 10191062020191 16462484801847 23779144713779 30573186060573 71337434141337 214012302424011