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232031031104 = 26109277120077
BaseRepresentation
bin1101100000011000100…
…0001000111101000000
3211011220122022122202202
43120012020020331000
512300144420443404
6254332114132332
722522642136225
oct3300610107500
9734818278682
10232031031104
118a449516a34
1238b768810a8
1318b5a404a12
14b33218194c
15608054021e
hex3606208f40

232031031104 has 56 divisors (see below), whose sum is σ = 466342125480. Its totient is φ = 114535213056.

The previous prime is 232031031097. The next prime is 232031031137. The reversal of 232031031104 is 401130130232.

It can be written as a sum of positive squares in 4 ways, for example, as 85684998400 + 146346032704 = 292720^2 + 382552^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872314 + ... + 1992390.

It is an arithmetic number, because the mean of its divisors is an integer number (8327537955).

Almost surely, 2232031031104 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 232031031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233171062740).

232031031104 is an abundant number, since it is smaller than the sum of its proper divisors (234311094376).

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

232031031104 is a wasteful number, since it uses less digits than its factorization.

232031031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120475 (or 120465 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 232031031104 its reverse (401130130232), we get a palindrome (633161161336).

The spelling of 232031031104 in words is "two hundred thirty-two billion, thirty-one million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 109 218 277 436 554 872 1108 1744 2216 3488 4432 6976 8864 17728 30193 60386 120077 120772 240154 241544 480308 483088 960616 966176 1921232 1932352 3842464 7684928 13088393 26176786 33261329 52353572 66522658 104707144 133045316 209414288 266090632 418828576 532181264 837657152 1064362528 2128725056 3625484861 7250969722 14501939444 29003878888 58007757776 116015515552 232031031104