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103321310112 = 25321129931751
BaseRepresentation
bin110000000111001101…
…1100001001110100000
3100212200122021101012100
41200032123201032200
53143100223410422
6115244250130400
710315253434236
oct1401633411640
9325618241170
10103321310112
113a900205599
1218036120a00
1399879435b7
1450021c6956
152a4aaeb7ac
hex180e6e13a0

103321310112 has 72 divisors (see below), whose sum is σ = 293855234400. Its totient is φ = 34436304000.

The previous prime is 103321310111. The next prime is 103321310233. The reversal of 103321310112 is 211013123301.

103321310112 is a `hidden beast` number, since 10 + 332 + 1 + 310 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (103321310111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3238237 + ... + 3269987.

It is an arithmetic number, because the mean of its divisors is an integer number (4081322700).

Almost surely, 2103321310112 is an apocalyptic number.

103321310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103321310112 is an abundant number, since it is smaller than the sum of its proper divisors (190533924288).

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

103321310112 is a wasteful number, since it uses less digits than its factorization.

103321310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43066 (or 43055 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103321310112 its reverse (211013123301), we get a palindrome (314334433413).

The spelling of 103321310112 in words is "one hundred three billion, three hundred twenty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11299 22598 31751 33897 45196 63502 67794 90392 95253 101691 127004 135588 180784 190506 203382 254008 271176 285759 361568 381012 406764 508016 542352 571518 762024 813528 1016032 1084704 1143036 1524048 1627056 2286072 3048096 3254112 4572144 9144288 358754549 717509098 1076263647 1435018196 2152527294 2870036392 3228790941 4305054588 5740072784 6457581882 8610109176 11480145568 12915163764 17220218352 25830327528 34440436704 51660655056 103321310112