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1042052044131 = 3573794333733
BaseRepresentation
bin11110010100111110010…
…01000101010101100011
310200121201101202121100000
433022133021011111203
5114033110310403011
62114413451431043
7135200010141540
oct17123711052543
93617641677300
101042052044131
11371a2823807a
12149b59155483
137735a5180a7
1438615379bc7
151c18d491356
hexf29f245563

1042052044131 has 96 divisors (see below), whose sum is σ = 1793242447360. Its totient is φ = 592356893184.

The previous prime is 1042052044079. The next prime is 1042052044133. The reversal of 1042052044131 is 1314402502401.

1042052044131 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 520 + 4 + 4 + 131 = 666.

It is not a de Polignac number, because 1042052044131 - 226 = 1041984935267 is a prime.

It is a super-2 number, since 2×10420520441312 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1042052044095 and 1042052044104.

It is not an unprimeable number, because it can be changed into a prime (1042052044133) 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, 279144141 + ... + 279147873.

Almost surely, 21042052044131 is an apocalyptic number.

1042052044131 is a deficient number, since it is larger than the sum of its proper divisors (751190403229).

1042052044131 is an equidigital number, since it uses as much as digits as its factorization.

1042052044131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1042052044131 its reverse (1314402502401), we get a palindrome (2356454546532).

The spelling of 1042052044131 in words is "one trillion, forty-two billion, fifty-two million, forty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 379 433 567 1137 1299 1701 2653 3031 3411 3733 3897 7959 9093 10233 11199 11691 23877 26131 27279 30699 33597 35073 71631 78393 81837 92097 100791 105219 164107 214893 235179 245511 302373 492321 644679 705537 736533 907119 1148749 1414807 1476963 1616389 2116611 3446247 4244421 4430889 4849167 6349833 9903649 10338741 11314723 12733263 13292667 14547501 29710947 31016223 33944169 38199789 39878001 43642503 89132841 93048669 101832507 114599367 130927509 267398523 279146007 305497521 343798101 392782527 612611431 802195569 916492563 1837834293 2406586707 2749477689 4288280017 5513502879 12864840051 16540508637 38594520153 49621525911 115783560459 148864577733 347350681377 1042052044131