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102303001216 = 271361480169
BaseRepresentation
bin101111101000110111…
…0111110101010000000
3100210001200010221000001
41133101232332222000
53134004032014331
6114555232205344
710251110106523
oct1372156765200
9323050127001
10102303001216
113a428416a99
12179b1099854
139854995960
144d46c70bba
1529db500561
hex17d1bbea80

102303001216 has 32 divisors (see below), whose sum is σ = 219484206900. Its totient is φ = 47216769024.

The previous prime is 102303001201. The next prime is 102303001231. The reversal of 102303001216 is 612100303201.

It is an interprime number because it is at equal distance from previous prime (102303001201) and next prime (102303001231).

It can be written as a sum of positive squares in 2 ways, for example, as 73823063616 + 28479937600 = 271704^2 + 168760^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 102303001193 and 102303001202.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30738421 + ... + 30741748.

Almost surely, 2102303001216 is an apocalyptic number.

102303001216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102303001216 is an abundant number, since it is smaller than the sum of its proper divisors (117181205684).

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

102303001216 is an equidigital number, since it uses as much as digits as its factorization.

102303001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61480196 (or 61480184 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102303001216 its reverse (612100303201), we get a palindrome (714403304417).

The spelling of 102303001216 in words is "one hundred two billion, three hundred three million, one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 61480169 122960338 245920676 491841352 799242197 983682704 1598484394 1967365408 3196968788 3934730816 6393937576 7869461632 12787875152 25575750304 51151500608 102303001216