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431131201104 = 24379541210157
BaseRepresentation
bin1100100011000010110…
…11000000111001010000
31112012211021102020120010
412101201123000321100
524030424041413404
6530020421514520
743101555513162
oct6214133007120
91465737366503
10431131201104
1115692936157a
126b680b72a40
133186a1899b6
1416c1c94c932
15b3349bd189
hex64616c0e50

431131201104 has 80 divisors (see below), whose sum is σ = 1129943909120. Its totient is φ = 141628331520.

The previous prime is 431131201091. The next prime is 431131201177. The reversal of 431131201104 is 401102131134.

It is a super-2 number, since 2×4311312011042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946394 + ... + 2156550.

It is an arithmetic number, because the mean of its divisors is an integer number (14124298864).

Almost surely, 2431131201104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431131201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564971954560).

431131201104 is an abundant number, since it is smaller than the sum of its proper divisors (698812708016).

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

431131201104 is a wasteful number, since it uses less digits than its factorization.

431131201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210788 (or 210782 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 431131201104 its reverse (401102131134), we get a palindrome (832233332238).

The spelling of 431131201104 in words is "four hundred thirty-one billion, one hundred thirty-one million, two hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 541 632 948 1082 1264 1623 1896 2164 3246 3792 4328 6492 8656 12984 25968 42739 85478 128217 170956 210157 256434 341912 420314 512868 630471 683824 840628 1025736 1260942 1681256 2051472 2521884 3362512 5043768 10087536 16602403 33204806 49807209 66409612 99614418 113694937 132819224 199228836 227389874 265638448 341084811 398457672 454779748 682169622 796915344 909559496 1364339244 1819118992 2728678488 5457356976 8981900023 17963800046 26945700069 35927600092 53891400138 71855200184 107782800276 143710400368 215565600552 431131201104