Search a number
-
+
101124538020 = 2233511131912907
BaseRepresentation
bin101111000101101111…
…1011111111010100100
3100200000112122210102000
41132023133133322210
53124100340204040
6114242253445300
710206650251002
oct1361337377244
9320015583360
10101124538020
1139983190170
12177224a0830
1396c77a225c
144c74549a72
15296cd1b130
hex178b7dfea4

101124538020 has 192 divisors, whose sum is σ = 343497369600. Its totient is φ = 24494555520.

The previous prime is 101124538007. The next prime is 101124538079. The reversal of 101124538020 is 20835421101.

101124538020 is a `hidden beast` number, since 1 + 0 + 1 + 124 + 538 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7828407 + ... + 7841313.

It is an arithmetic number, because the mean of its divisors is an integer number (1789048800).

Almost surely, 2101124538020 is an apocalyptic number.

101124538020 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 101124538020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171748684800).

101124538020 is an abundant number, since it is smaller than the sum of its proper divisors (242372831580).

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

101124538020 is a wasteful number, since it uses less digits than its factorization.

101124538020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14255 (or 14247 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 101124538020 its reverse (20835421101), we get a palindrome (121959959121).

The spelling of 101124538020 in words is "one hundred one billion, one hundred twenty-four million, five hundred thirty-eight thousand, twenty".