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101398964 = 22295316493
BaseRepresentation
bin1100000101100…
…11100110110100
321001210121020012
412002303212310
5201424231324
614021155352
72340606542
oct602634664
9231717205
10101398964
11522675a7
1229b5bb58
13180134b4
14d676d92
158d7e20e
hex60b39b4

101398964 has 24 divisors (see below), whose sum is σ = 187041960. Its totient is φ = 48024704.

The previous prime is 101398963. The next prime is 101398987. The reversal of 101398964 is 469893101.

It can be written as a sum of positive squares in 4 ways, for example, as 4376464 + 97022500 = 2092^2 + 9850^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101398963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2099 + ... + 14394.

It is an arithmetic number, because the mean of its divisors is an integer number (7793415).

Almost surely, 2101398964 is an apocalyptic number.

It is an amenable number.

101398964 is a deficient number, since it is larger than the sum of its proper divisors (85642996).

101398964 is a wasteful number, since it uses less digits than its factorization.

101398964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16579 (or 16577 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 101398964 is about 10069.7052588445. The cubic root of 101398964 is about 466.3133395826.

The spelling of 101398964 in words is "one hundred one million, three hundred ninety-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 29 53 58 106 116 212 1537 3074 6148 16493 32986 65972 478297 874129 956594 1748258 1913188 3496516 25349741 50699482 101398964