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12003189002951 = 1923349566913883
BaseRepresentation
bin1010111010101011010111…
…0100010001001011000111
31120111111022212202020102212
42232222311310101023013
53033130012341043301
641310104445254035
72346126133051136
oct256526564211307
946444285666385
1012003189002951
1139085842a6a33
12141a36b86431b
13690b852aaa93
142d6d5934391d
1515c36cd9a4bb
hexaeab5d112c7

12003189002951 has 32 divisors (see below), whose sum is σ = 13225343040000. Its totient is φ = 10843171118208.

The previous prime is 12003189002923. The next prime is 12003189002969. The reversal of 12003189002951 is 15920098130021.

It is a cyclic number.

It is not a de Polignac number, because 12003189002951 - 26 = 12003189002887 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12003189002899 and 12003189002908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003189002251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864589256 + ... + 864603138.

It is an arithmetic number, because the mean of its divisors is an integer number (413291970000).

Almost surely, 212003189002951 is an apocalyptic number.

12003189002951 is a deficient number, since it is larger than the sum of its proper divisors (1222154037049).

12003189002951 is a wasteful number, since it uses less digits than its factorization.

12003189002951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19943.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 12003189002951 in words is "twelve trillion, three billion, one hundred eighty-nine million, two thousand, nine hundred fifty-one".

Divisors: 1 19 23 349 437 5669 6631 8027 13883 107711 130387 152513 263777 319309 1978481 2477353 4845167 6066871 37591139 45505063 78702727 92058173 111438841 864596197 1495351813 1810162721 2117337979 27467251723 34393091699 521877782737 631746789629 12003189002951