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101207860 = 22513974013
BaseRepresentation
bin1100000100001…
…00111100110100
321001102220002021
412002010330310
5201402122420
614013122524
72336152435
oct602047464
9231386067
10101207860
1152146a66
1229a89444
1317c77510
14d62748c
158d427aa
hex6084f34

101207860 has 48 divisors (see below), whose sum is σ = 231302736. Its totient is φ = 36974592.

The previous prime is 101207837. The next prime is 101207861. The reversal of 101207860 is 68702101.

It can be written as a sum of positive squares in 8 ways, for example, as 1127844 + 100080016 = 1062^2 + 10004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101207861) 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, 23214 + ... + 27226.

It is an arithmetic number, because the mean of its divisors is an integer number (4818807).

Almost surely, 2101207860 is an apocalyptic number.

101207860 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 101207860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115651368).

101207860 is an abundant number, since it is smaller than the sum of its proper divisors (130094876).

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

101207860 is a wasteful number, since it uses less digits than its factorization.

101207860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 101207860 is about 10060.2117273942. The cubic root of 101207860 is about 466.0202057956.

Adding to 101207860 its reverse (68702101), we get a palindrome (169909961).

The spelling of 101207860 in words is "one hundred one million, two hundred seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 4013 5044 6305 8026 12610 16052 20065 25220 40130 52169 80260 104338 208676 260845 389261 521690 778522 1043380 1557044 1946305 3892610 5060393 7785220 10120786 20241572 25301965 50603930 101207860