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103444132056 = 233233183110103
BaseRepresentation
bin110000001010111000…
…0000011000011011000
3100220000012101101020020
41200111300003003120
53143323144211211
6115304354430440
710321304420556
oct1402560030330
9326005341206
10103444132056
113a963574531
121806b292420
1399a7217ac5
145014638bd6
152a567ad306
hex1815c030d8

103444132056 has 64 divisors (see below), whose sum is σ = 259887813120. Its totient is φ = 34311240960.

The previous prime is 103444132039. The next prime is 103444132079. The reversal of 103444132056 is 650231444301.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 10233901 + ... + 10244003.

It is an arithmetic number, because the mean of its divisors is an integer number (4060747080).

Almost surely, 2103444132056 is an apocalyptic number.

It is an amenable number.

103444132056 is an abundant number, since it is smaller than the sum of its proper divisors (156443681064).

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

103444132056 is a wasteful number, since it uses less digits than its factorization.

103444132056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12176 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 103444132056 its reverse (650231444301), we get a palindrome (753675576357).

The spelling of 103444132056 in words is "one hundred three billion, four hundred forty-four million, one hundred thirty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 233 466 699 932 1398 1831 1864 2796 3662 5493 5592 7324 10103 10986 14648 20206 21972 30309 40412 43944 60618 80824 121236 242472 426623 853246 1279869 1706492 2353999 2559738 3412984 4707998 5119476 7061997 9415996 10238952 14123994 18498593 18831992 28247988 36997186 55495779 56495976 73994372 110991558 147988744 221983116 443966232 4310172169 8620344338 12930516507 17240688676 25861033014 34481377352 51722066028 103444132056