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2133141022032 = 2431392347136223
BaseRepresentation
bin11111000010101001000…
…111001110010101010000
321112221000021011112210020
4133002221013032111100
5234422133100201112
64311541303103440
7310054136343036
oct37025107162520
97487007145706
102133141022032
11752729550299
122a5500741b80
131262010c7a07
147535d190556
153a74b98e48c
hex1f0a91ce550

2133141022032 has 80 divisors (see below), whose sum is σ = 5552664606720. Its totient is φ = 705625600896.

The previous prime is 2133141022027. The next prime is 2133141022063. The reversal of 2133141022032 is 2302201413312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2133141021993 and 2133141022011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15591073 + ... + 15727295.

It is an arithmetic number, because the mean of its divisors is an integer number (69408307584).

Almost surely, 22133141022032 is an apocalyptic number.

It is an amenable number.

2133141022032 is an abundant number, since it is smaller than the sum of its proper divisors (3419523584688).

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

2133141022032 is a wasteful number, since it uses less digits than its factorization.

2133141022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138720 (or 138714 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2133141022032 its reverse (2302201413312), we get a palindrome (4435342435344).

The spelling of 2133141022032 in words is "two trillion, one hundred thirty-three billion, one hundred forty-one million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 2347 3336 4694 6672 7041 9388 14082 18776 28164 37552 56328 112656 136223 272446 326233 408669 544892 652466 817338 978699 1089784 1304932 1634676 1957398 2179568 2609864 3269352 3914796 5219728 6538704 7829592 15659184 18934997 37869994 56804991 75739988 113609982 151479976 227219964 302959952 319715381 454439928 639430762 908879856 959146143 1278861524 1918292286 2557723048 3836584572 5115446096 7673169144 15346338288 44440437959 88880875918 133321313877 177761751836 266642627754 355523503672 533285255508 711047007344 1066570511016 2133141022032