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101391720 = 23351276653
BaseRepresentation
bin1100000101100…
…01110101101000
321001210020021220
412002301311220
5201424013340
614021102040
72340546453
oct602616550
9231706256
10101391720
1152262111
1229b57920
1318010101
14d67449a
158d7bed0
hex60b1d68

101391720 has 64 divisors (see below), whose sum is σ = 306616320. Its totient is φ = 26820864.

The previous prime is 101391709. The next prime is 101391727. The reversal of 101391720 is 27193101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101391727) 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, 11914 + ... + 18566.

It is an arithmetic number, because the mean of its divisors is an integer number (4790880).

Almost surely, 2101391720 is an apocalyptic number.

101391720 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 101391720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153308160).

101391720 is an abundant number, since it is smaller than the sum of its proper divisors (205224600).

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

101391720 is a wasteful number, since it uses less digits than its factorization.

101391720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 101391720 is about 10069.3455596677. The cubic root of 101391720 is about 466.3022347543.

The spelling of 101391720 in words is "one hundred one million, three hundred ninety-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 6653 7620 13306 15240 19959 26612 33265 39918 53224 66530 79836 99795 133060 159672 199590 266120 399180 798360 844931 1689862 2534793 3379724 4224655 5069586 6759448 8449310 10139172 12673965 16898620 20278344 25347930 33797240 50695860 101391720