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1004253220131 = 37461139974149
BaseRepresentation
bin11101001110100100010…
…10000000110100100011
310120000011010121101122120
432213102022000310203
5112423202311021011
62045203023435323
7132361221345510
oct16472212006443
93500133541576
101004253220131
113579a0842157
1214276a455b43
13739154b9545
143686b274307
151b1c9d59a06
hexe9d2280d23

1004253220131 has 32 divisors (see below), whose sum is σ = 1534727040000. Its totient is φ = 572197150080.

The previous prime is 1004253220051. The next prime is 1004253220163. The reversal of 1004253220131 is 1310223524001.

It is not a de Polignac number, because 1004253220131 - 225 = 1004219665699 is a prime.

It is a super-2 number, since 2×10042532201312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004253220181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13506645 + ... + 13580793.

It is an arithmetic number, because the mean of its divisors is an integer number (47960220000).

Almost surely, 21004253220131 is an apocalyptic number.

1004253220131 is a deficient number, since it is larger than the sum of its proper divisors (530473819869).

1004253220131 is a wasteful number, since it uses less digits than its factorization.

1004253220131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76019.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1004253220131 its reverse (1310223524001), we get a palindrome (2314476744132).

The spelling of 1004253220131 in words is "one trillion, four billion, two hundred fifty-three million, two hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 461 1383 1399 3227 4197 9681 9793 29379 74149 222447 519043 644939 1557129 1934817 4514573 13543719 34182689 102548067 103734451 239278823 311203353 717836469 726141157 2178423471 47821581911 143464745733 334751073377 1004253220131