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10031404400 = 245241611671
BaseRepresentation
bin10010101011110101…
…10001010101110000
3221220002212010212022
421111322301111300
5131021014420100
64335223451012
7503405346653
oct112572612560
927802763768
1010031404400
114288514666
121b3b5b6a68
13c3b364764
146b23b989a
153daa12e85
hex255eb1570

10031404400 has 60 divisors (see below), whose sum is σ = 24688305264. Its totient is φ = 3914688000.

The previous prime is 10031404381. The next prime is 10031404417. The reversal of 10031404400 is 440413001.

10031404400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 289436 + ... + 322235.

Almost surely, 210031404400 is an apocalyptic number.

10031404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031404400 is an abundant number, since it is smaller than the sum of its proper divisors (14656900864).

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

10031404400 is a wasteful number, since it uses less digits than its factorization.

10031404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611730 (or 611719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10031404400 its reverse (440413001), we get a palindrome (10471817401).

The spelling of 10031404400 in words is "ten billion, thirty-one million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 611671 1223342 2446684 3058355 4893368 6116710 9786736 12233420 15291775 24466840 25078511 30583550 48933680 50157022 61167100 100314044 122334200 125392555 200628088 244668400 250785110 401256176 501570220 626962775 1003140440 1253925550 2006280880 2507851100 5015702200 10031404400