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10404131000 = 235325740483
BaseRepresentation
bin10011011000010001…
…00111000010111000
3222212002012121122012
421230020213002320
5132301424143000
64440220345052
7515552440304
oct115410470270
928762177565
1010404131000
11445995167a
1220243a5188
13c9a647143
14709ac0d04
1540d5da735
hex26c2270b8

10404131000 has 64 divisors (see below), whose sum is σ = 24441000480. Its totient is φ = 4145356800.

The previous prime is 10404130993. The next prime is 10404131009. The reversal of 10404131000 is 13140401.

It is a happy number.

It is a super-2 number, since 2×104041310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404131009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236759 + ... + 277241.

Almost surely, 210404131000 is an apocalyptic number.

10404131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12220500240).

10404131000 is an abundant number, since it is smaller than the sum of its proper divisors (14036869480).

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

10404131000 is a wasteful number, since it uses less digits than its factorization.

10404131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40761 (or 40747 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10404131000 its reverse (13140401), we get a palindrome (10417271401).

The spelling of 10404131000 in words is "ten billion, four hundred four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2570 5140 6425 10280 12850 25700 32125 40483 51400 64250 80966 128500 161932 202415 257000 323864 404830 809660 1012075 1619320 2024150 4048300 5060375 8096600 10120750 10404131 20241500 20808262 40483000 41616524 52020655 83233048 104041310 208082620 260103275 416165240 520206550 1040413100 1300516375 2080826200 2601032750 5202065500 10404131000