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102134402320 = 2457971601857
BaseRepresentation
bin101111100011110101…
…1110100110100010000
3100202121220220012210111
41133013223310310100
53133132401333240
6114530410411104
710243662044536
oct1370753646420
9322556805714
10102134402320
113a351231165
1217964730a94
139828a842b2
144d2c704156
1529cb7ea1ea
hex17c7af4d10

102134402320 has 40 divisors (see below), whose sum is σ = 237760579224. Its totient is φ = 40802476032.

The previous prime is 102134402299. The next prime is 102134402341. The reversal of 102134402320 is 23204431201.

It is an interprime number because it is at equal distance from previous prime (102134402299) and next prime (102134402341).

It can be written as a sum of positive squares in 4 ways, for example, as 17432449024 + 84701953296 = 132032^2 + 291036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1021344023202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102134402291 and 102134402300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737169 + ... + 864688.

Almost surely, 2102134402320 is an apocalyptic number.

102134402320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102134402320 is an abundant number, since it is smaller than the sum of its proper divisors (135626176904).

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

102134402320 is a wasteful number, since it uses less digits than its factorization.

102134402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602667 (or 1602661 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102134402320 its reverse (23204431201), we get a palindrome (125338833521).

The spelling of 102134402320 in words is "one hundred two billion, one hundred thirty-four million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 797 1594 3188 3985 6376 7970 12752 15940 31880 63760 1601857 3203714 6407428 8009285 12814856 16018570 25629712 32037140 64074280 128148560 1276680029 2553360058 5106720116 6383400145 10213440232 12766800290 20426880464 25533600580 51067201160 102134402320