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103010311120 = 2451287628889
BaseRepresentation
bin101111111101111100…
…1001001101111010000
3100211212222001222210011
41133323321021233100
53141431114423440
6115153340244304
710304456124523
oct1377371115720
9324788058704
10103010311120
113a7606a9432
1217b69b40694
139938394322
144db2b8cbba
152a2d6689ea
hex17fbe49bd0

103010311120 has 20 divisors (see below), whose sum is σ = 239498973540. Its totient is φ = 41204124416.

The previous prime is 103010311031. The next prime is 103010311147. The reversal of 103010311120 is 21113010301.

It can be written as a sum of positive squares in 2 ways, for example, as 63530210704 + 39480100416 = 252052^2 + 198696^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1030103111202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103010311120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643814365 + ... + 643814524.

It is an arithmetic number, because the mean of its divisors is an integer number (11974948677).

Almost surely, 2103010311120 is an apocalyptic number.

103010311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103010311120 is an abundant number, since it is smaller than the sum of its proper divisors (136488662420).

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

103010311120 is a wasteful number, since it uses less digits than its factorization.

103010311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287628902 (or 1287628896 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 103010311120 its reverse (21113010301), we get a palindrome (124123321421).

The spelling of 103010311120 in words is "one hundred three billion, ten million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1287628889 2575257778 5150515556 6438144445 10301031112 12876288890 20602062224 25752577780 51505155560 103010311120