Search a number
-
+
31104100421010 = 23253748497192601
BaseRepresentation
bin1110001001001111111001…
…10110110100110110010010
311002010112010020102111101200
413010213330312310312102
513034102144201433020
6150053005415012030
76360124414205031
oct704477466646622
9132115106374350
1031104100421010
119a021a1895041
1235a422436a016
131448147899236
14797637268718
1538e150739590
hex1c49fcdb4d92

31104100421010 has 96 divisors (see below), whose sum is σ = 83058498490032. Its totient is φ = 8070044774400.

The previous prime is 31104100420951. The next prime is 31104100421027. The reversal of 31104100421010 is 1012400140113.

31104100421010 is a `hidden beast` number, since 3 + 110 + 410 + 0 + 42 + 101 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8135210268441 + 22968890152569 = 2852229^2 + 4792587^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161398710 + ... + 161591310.

Almost surely, 231104100421010 is an apocalyptic number.

31104100421010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31104100421010 is an abundant number, since it is smaller than the sum of its proper divisors (51954398069022).

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

31104100421010 is a wasteful number, since it uses less digits than its factorization.

31104100421010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241148 (or 241145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31104100421010 its reverse (1012400140113), we get a palindrome (32116500561123).

The spelling of 31104100421010 in words is "thirty-one trillion, one hundred four billion, one hundred million, four hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 48497 96994 145491 192601 242485 290982 385202 436473 484970 577803 727455 872946 963005 1155606 1454910 1733409 1794389 1926010 2182365 2889015 3466818 3588778 4364730 5383167 5778030 7126237 8667045 8971945 10766334 14252474 16149501 17334090 17943890 21378711 26915835 32299002 35631185 42757422 53831670 64136133 71262370 80747505 106893555 128272266 161495010 213787110 320680665 641361330 9340570697 18681141394 28021712091 46702853485 56043424182 84065136273 93405706970 140108560455 168130272546 280217120910 345601115789 420325681365 691202231578 840651362730 1036803347367 1728005578945 2073606694734 3110410042101 3456011157890 5184016736835 6220820084202 10368033473670 15552050210505 31104100421010