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101993397 = 3117014409
BaseRepresentation
bin1100001010001…
…00101110110101
321002220210122020
412011010232311
5202102242042
614042023353
72345633562
oct605045665
9232823566
10101993397
1152633170
122a1a7b59
1318190c2c
14d78d869
158e4a3ec
hex6144bb5

101993397 has 16 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 61712000.

The previous prime is 101993393. The next prime is 101993429. The reversal of 101993397 is 793399101.

It is a cyclic number.

It is not a de Polignac number, because 101993397 - 22 = 101993393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101993393) 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 15 ways as a sum of consecutive naturals, for example, 20929 + ... + 25337.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2101993397 is an apocalyptic number.

It is an amenable number.

101993397 is a deficient number, since it is larger than the sum of its proper divisors (46605963).

101993397 is a wasteful number, since it uses less digits than its factorization.

101993397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124.

The product of its (nonzero) digits is 45927, while the sum is 42.

The square root of 101993397 is about 10099.1780358601. The cubic root of 101993397 is about 467.2227904655. Note that the first 3 decimals are identical.

The spelling of 101993397 in words is "one hundred one million, nine hundred ninety-three thousand, three hundred ninety-seven".

Divisors: 1 3 11 33 701 2103 4409 7711 13227 23133 48499 145497 3090709 9272127 33997799 101993397