Search a number
-
+
10431330400 = 255247277429
BaseRepresentation
bin10011011011100000…
…10111100001100000
3222220222101111012101
421231300113201200
5132330410033100
64443031340144
7516332562661
oct115560274140
928828344171
1010431330400
114473239a17
122031521654
13ca317b46a
1470d561368
15410bae86a
hex26dc17860

10431330400 has 72 divisors (see below), whose sum is σ = 26007397920. Its totient is φ = 4083740160.

The previous prime is 10431330379. The next prime is 10431330419. The reversal of 10431330400 is 403313401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101115 + ... + 176314.

It is an arithmetic number, because the mean of its divisors is an integer number (361213860).

Almost surely, 210431330400 is an apocalyptic number.

10431330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10431330400 is an abundant number, since it is smaller than the sum of its proper divisors (15576067520).

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

10431330400 is a wasteful number, since it uses less digits than its factorization.

10431330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277496 (or 277483 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10431330400 its reverse (403313401), we get a palindrome (10834643801).

The spelling of 10431330400 in words is "ten billion, four hundred thirty-one million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 7520 9400 18800 37600 277429 554858 1109716 1387145 2219432 2774290 4438864 5548580 6935725 8877728 11097160 13039163 13871450 22194320 26078326 27742900 44388640 52156652 55485800 65195815 104313304 110971600 130391630 208626608 221943200 260783260 325979075 417253216 521566520 651958150 1043133040 1303916300 2086266080 2607832600 5215665200 10431330400