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101140520 = 23513672903
BaseRepresentation
bin1100000011101…
…00100000101000
321001022110201012
412001310200220
5201342444040
614011443052
72335452215
oct601644050
9231273635
10101140520
1152100408
1229a56488
1317c52980
14d60ab0c
158d2c865
hex6074828

101140520 has 64 divisors (see below), whose sum is σ = 248814720. Its totient is φ = 36774144.

The previous prime is 101140513. The next prime is 101140561. The reversal of 101140520 is 25041101.

It is a junction number, because it is equal to n+sod(n) for n = 101140495 and 101140504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33389 + ... + 36291.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2101140520 is an apocalyptic number.

101140520 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 101140520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407360).

101140520 is an abundant number, since it is smaller than the sum of its proper divisors (147674200).

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

101140520 is a wasteful number, since it uses less digits than its factorization.

101140520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 101140520 is about 10056.8643224417. The cubic root of 101140520 is about 465.9168252764.

Adding to 101140520 its reverse (25041101), we get a palindrome (126181621).

The spelling of 101140520 in words is "one hundred one million, one hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 335 520 536 670 871 1340 1742 2680 2903 3484 4355 5806 6968 8710 11612 14515 17420 23224 29030 34840 37739 58060 75478 116120 150956 188695 194501 301912 377390 389002 754780 778004 972505 1509560 1556008 1945010 2528513 3890020 5057026 7780040 10114052 12642565 20228104 25285130 50570260 101140520