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102666963 = 3723212561
BaseRepresentation
bin1100001111010…
…01001011010011
321011012000121010
412013221023103
5202240320323
614104302003
72354440410
oct607511323
9234160533
10102666963
1152a53233
122a471903
13183686a9
14d8c7107
15902ec93
hex61e92d3

102666963 has 16 divisors (see below), whose sum is σ = 163247616. Its totient is φ = 56115840.

The previous prime is 102666919. The next prime is 102667007. The reversal of 102666963 is 369666201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102666919) and next prime (102667007).

It is not a de Polignac number, because 102666963 - 222 = 98472659 is a prime.

It is a super-4 number, since 4×1026669634 (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (102666163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105798 + ... + 106763.

It is an arithmetic number, because the mean of its divisors is an integer number (10202976).

Almost surely, 2102666963 is an apocalyptic number.

102666963 is a deficient number, since it is larger than the sum of its proper divisors (60580653).

102666963 is a wasteful number, since it uses less digits than its factorization.

102666963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212594.

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 102666963 is about 10132.4707253463. The cubic root of 102666963 is about 468.2490501803.

The spelling of 102666963 in words is "one hundred two million, six hundred sixty-six thousand, nine hundred sixty-three".

Divisors: 1 3 7 21 23 69 161 483 212561 637683 1487927 4463781 4888903 14666709 34222321 102666963