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101716020 = 22335771379
BaseRepresentation
bin1100001000000…
…01000000110100
321002101201011000
412010001000310
5202014403040
614032043300
72343400110
oct604010064
9232351130
10101716020
115246382a
122a093530
13180c48c3
14d71a740
158de3130
hex6101034

101716020 has 192 divisors, whose sum is σ = 367718400. Its totient is φ = 22861440.

The previous prime is 101716009. The next prime is 101716031. The reversal of 101716020 is 20617101.

It is an interprime number because it is at equal distance from previous prime (101716009) and next prime (101716031).

It is a super-2 number, since 2×1017160202 = 20692297449280800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101715984 and 101716002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268191 + ... + 268569.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2101716020 is an apocalyptic number.

101716020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101716020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

101716020 is an abundant number, since it is smaller than the sum of its proper divisors (266002380).

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

101716020 is a wasteful number, since it uses less digits than its factorization.

101716020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101716020 is about 10085.4360342030. The cubic root of 101716020 is about 466.7988593756.

The spelling of 101716020 in words is "one hundred one million, seven hundred sixteen thousand, twenty".