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102762021042 = 23227132104313
BaseRepresentation
bin101111110110100011…
…0000000000010110010
3100211020122212112211100
41133231012000002302
53140424034133132
6115112550425230
710265352523662
oct1375506000262
9324218775740
10102762021042
113a64353341a
1217aba962216
1398c8b00015
144d8bbda1a2
152a1697137c
hex17ed1800b2

102762021042 has 24 divisors (see below), whose sum is σ = 222733219644. Its totient is φ = 34241364864.

The previous prime is 102762021017. The next prime is 102762021071. The reversal of 102762021042 is 240120267201.

102762021042 is a `hidden beast` number, since 1 + 0 + 27 + 620 + 2 + 10 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102631170321 + 130850721 = 320361^2 + 11439^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102762020997 and 102762021015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003323 + ... + 1100990.

Almost surely, 2102762021042 is an apocalyptic number.

102762021042 is an abundant number, since it is smaller than the sum of its proper divisors (119971198602).

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

102762021042 is a wasteful number, since it uses less digits than its factorization.

102762021042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107034 (or 2107031 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 102762021042 its reverse (240120267201), we get a palindrome (342882288243).

The spelling of 102762021042 in words is "one hundred two billion, seven hundred sixty-two million, twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 2713 5426 8139 16278 24417 48834 2104313 4208626 6312939 12625878 18938817 37877634 5709001169 11418002338 17127003507 34254007014 51381010521 102762021042