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102410267381 = 1972953176041
BaseRepresentation
bin101111101100000100…
…0001010101011110101
3100210100010222121111222
41133120020022223311
53134214012024011
6115014023240125
710253551624052
oct1373010125365
9323303877458
10102410267381
113a482a20714
1217a20ba9045
139870c81866
144d571d4029
1529e5b3cddb
hex17d820aaf5

102410267381 has 8 divisors (see below), whose sum is σ = 102965557464. Its totient is φ = 101855335680.

The previous prime is 102410267339. The next prime is 102410267389. The reversal of 102410267381 is 183762014201.

It can be written as a sum of positive squares in 4 ways, for example, as 56116872100 + 46293395281 = 236890^2 + 215159^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102410267381 - 26 = 102410267317 is a prime.

It is a super-2 number, since 2×1024102673812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102410267389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493721 + ... + 669761.

It is an arithmetic number, because the mean of its divisors is an integer number (12870694683).

Almost surely, 2102410267381 is an apocalyptic number.

It is an amenable number.

102410267381 is a deficient number, since it is larger than the sum of its proper divisors (555290083).

102410267381 is a wasteful number, since it uses less digits than its factorization.

102410267381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179191.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 102410267381 in words is "one hundred two billion, four hundred ten million, two hundred sixty-seven thousand, three hundred eighty-one".

Divisors: 1 197 2953 176041 581741 34680077 519849073 102410267381