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2142312132411 = 341123313791141
BaseRepresentation
bin11111001011001011110…
…000001110111100111011
321120210200102020020010000
4133023023300032330323
5240044423401214121
64320055315524043
7310530330446133
oct37131360167473
97523612206100
102142312132411
11756605392260
122a723bbb9623
13127033158849
147598d1c7ac3
153aad6bba526
hex1f2cbc0ef3b

2142312132411 has 160 divisors (see below), whose sum is σ = 3862157561856. Its totient is φ = 1169362656000.

The previous prime is 2142312132391. The next prime is 2142312132431. The reversal of 2142312132411 is 1142312132412.

2142312132411 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 31 + 213 + 2 + 411 = 666.

It is an interprime number because it is at equal distance from previous prime (2142312132391) and next prime (2142312132431).

It is not a de Polignac number, because 2142312132411 - 27 = 2142312132283 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2142312132431) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23459901 + ... + 23551041.

Almost surely, 22142312132411 is an apocalyptic number.

2142312132411 is a deficient number, since it is larger than the sum of its proper divisors (1719845429445).

2142312132411 is a wasteful number, since it uses less digits than its factorization.

2142312132411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91255 (or 91246 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 2142312132411 its reverse (1142312132412), we get a palindrome (3284624264823).

Subtracting from 2142312132411 its reverse (1142312132412), we obtain a palindrome (999999999999).

The spelling of 2142312132411 in words is "two trillion, one hundred forty-two billion, three hundred twelve million, one hundred thirty-two thousand, four hundred eleven".

Divisors: 1 3 9 11 23 27 31 33 37 69 81 93 99 111 207 253 279 297 333 341 407 621 713 759 837 851 891 999 1023 1147 1221 1863 2139 2277 2511 2553 2997 3069 3441 3663 6417 6831 7659 7843 9207 9361 10323 10989 12617 19251 20493 22977 23529 26381 27621 28083 30969 32967 37851 57753 68931 70587 79143 84249 91141 92907 113553 211761 237429 252747 273423 290191 340659 635283 712287 758241 820269 870573 1002551 1021977 2096243 2136861 2460807 2611719 2825371 3007653 3372217 6288729 7382421 7835157 8476113 9022959 10116651 18866187 23058673 23505471 25428339 27068877 30349953 31079081 37094387 56598561 64983533 69176019 76285017 77560991 81206631 91049859 93237243 104538727 111283161 169795683 194950599 207528057 228855051 232682973 273149577 279711729 313616181 333849483 584851797 622584171 698048919 714818863 839135187 853170901 940848543 1001548449 1149925997 1754555391 1867752513 2094146757 2144456589 2404390721 2517405561 2559512703 2822545629 3004645347 3449777991 5263666173 6282440271 6433369767 7213172163 7678538109 8467636887 10349333973 19300109301 21639516489 23035614327 26448297931 31048001919 57900327903 64918549467 69106842981 79344893793 93144005757 194755648401 238034681379 714104044137 2142312132411