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101120520 = 23354319597
BaseRepresentation
bin1100000011011…
…11101000001000
321001021110021110
412001233220020
5201341324040
614011210320
72335340004
oct601575010
9231243243
10101120520
1152097386
1229a469a0
1317c46837
14d603704
158d26980
hex606fa08

101120520 has 64 divisors (see below), whose sum is σ = 310432320. Its totient is φ = 26337024.

The previous prime is 101120497. The next prime is 101120521. The reversal of 101120520 is 25021101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101120496 and 101120505.

It is not an unprimeable number, because it can be changed into a prime (101120521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4639 + ... + 14958.

It is an arithmetic number, because the mean of its divisors is an integer number (4850505).

Almost surely, 2101120520 is an apocalyptic number.

101120520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120520 is an abundant number, since it is smaller than the sum of its proper divisors (209311800).

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

101120520 is a wasteful number, since it uses less digits than its factorization.

101120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19654 (or 19650 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101120520 is about 10055.8699275597. The cubic root of 101120520 is about 465.8861123937.

Adding to 101120520 its reverse (25021101), we get a palindrome (126141621).

The spelling of 101120520 in words is "one hundred one million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 19597 39194 58791 78388 97985 117582 156776 195970 235164 293955 391940 470328 587910 783880 842671 1175820 1685342 2351640 2528013 3370684 4213355 5056026 6741368 8426710 10112052 12640065 16853420 20224104 25280130 33706840 50560260 101120520