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242141031132 = 2237111320158261
BaseRepresentation
bin1110000110000010111…
…0101110101011011100
3212011000020001212120020
43201200232232223130
512431401100444012
6303123230352140
723331323543040
oct3414056565334
9764006055506
10242141031132
1193767332660
123ab1865b650
1319aabb27560
14ba10b7a020
156472dcaa8c
hex3860baeadc

242141031132 has 96 divisors (see below), whose sum is σ = 758595715584. Its totient is φ = 58055788800.

The previous prime is 242141031101. The next prime is 242141031179. The reversal of 242141031132 is 231130141242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10067119 + ... + 10091142.

It is an arithmetic number, because the mean of its divisors is an integer number (7902038704).

Almost surely, 2242141031132 is an apocalyptic number.

242141031132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242141031132 is an abundant number, since it is smaller than the sum of its proper divisors (516454684452).

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

242141031132 is a wasteful number, since it uses less digits than its factorization.

242141031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20158299 (or 20158297 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 242141031132 its reverse (231130141242), we get a palindrome (473271172374).

It can be divided in two parts, 2421410 and 31132, that added together give a palindrome (2452542).

The spelling of 242141031132 in words is "two hundred forty-two billion, one hundred forty-one million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 20158261 40316522 60474783 80633044 120949566 141107827 221740871 241899132 262057393 282215654 423323481 443481742 524114786 564431308 665222613 786172179 846646962 886963484 1048229572 1330445226 1552186097 1572344358 1693293924 1834401751 2660890452 2882631323 3104372194 3144688716 3668803502 4656558291 5503205253 5765262646 6208744388 7337607004 8647893969 9313116582 11006410506 11530525292 17295787938 18626233164 20178419261 22012821012 34591575876 40356838522 60535257783 80713677044 121070515566 242141031132