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102303023032132 = 22133753172049393
BaseRepresentation
bin10111010000101101000111…
…010110001110011101000100
3111102020001222120110100110221
4113100231013112032131010
5101402113042344012012
61001325205430554124
730356102165003506
oct2720550726163504
9442201876410427
10102303023032132
112a66251751601a
12b583017508944
1345111978c5a10
141b396c80c3d76
15bc620a54e507
hex5d0b4758e744

102303023032132 has 24 divisors (see below), whose sum is σ = 198012711943256. Its totient is φ = 45940650674688.

The previous prime is 102303023032123. The next prime is 102303023032141. The reversal of 102303023032132 is 231230320303201.

It is an interprime number because it is at equal distance from previous prime (102303023032123) and next prime (102303023032141).

It can be written as a sum of positive squares in 4 ways, for example, as 213338676996 + 102089684355136 = 461886^2 + 10103944^2 .

It is a super-3 number, since 3×1023030230321323 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102303023032097 and 102303023032106.

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 7 ways as a sum of consecutive naturals, for example, 26586022773 + ... + 26586026620.

Almost surely, 2102303023032132 is an apocalyptic number.

It is an amenable number.

102303023032132 is a deficient number, since it is larger than the sum of its proper divisors (95709688911124).

102303023032132 is a wasteful number, since it uses less digits than its factorization.

102303023032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53172049447 (or 53172049445 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 102303023032132 its reverse (231230320303201), we get a palindrome (333533343335333).

The spelling of 102303023032132 in words is "one hundred two trillion, three hundred three billion, twenty-three million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 37 52 74 148 481 962 1924 53172049393 106344098786 212688197572 691236642109 1382473284218 1967365827541 2764946568436 3934731655082 7869463310164 25575755758033 51151511516066 102303023032132