Search a number
-
+
101310020 = 22576111863
BaseRepresentation
bin1100000100111…
…01111001000100
321001122002012222
412002131321010
5201413410040
614015231512
72340056330
oct602357104
9231562188
10101310020
1152206799
1229b18598
1317cb1b76
14d6527c0
158d62bb5
hex609de44

101310020 has 48 divisors (see below), whose sum is σ = 247150848. Its totient is φ = 34162560.

The previous prime is 101310019. The next prime is 101310091. The reversal of 101310020 is 20013101.

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, 2609 + ... + 14471.

It is an arithmetic number, because the mean of its divisors is an integer number (5148976).

Almost surely, 2101310020 is an apocalyptic number.

101310020 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 101310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123575424).

101310020 is an abundant number, since it is smaller than the sum of its proper divisors (145840828).

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

101310020 is a wasteful number, since it uses less digits than its factorization.

101310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101310020 is about 10065.2878746710. The cubic root of 101310020 is about 466.1769545381.

Adding to 101310020 its reverse (20013101), we get a palindrome (121323121).

The spelling of 101310020 in words is "one hundred one million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 11863 23726 47452 59315 83041 118630 166082 237260 332164 415205 723643 830410 1447286 1660820 2894572 3618215 5065501 7236430 10131002 14472860 20262004 25327505 50655010 101310020