Search a number
-
+
101220331032 = 23321867752993
BaseRepresentation
bin101111001000100110…
…0111010111000011000
3100200021012220120201100
41132101030322320120
53124244401043112
6114255554551400
710212222421632
oct1362114727030
9320235816640
10101220331032
1139a22268947
121774a598560
1397115a1c02
144c83163a52
15297643e2dc
hex179133ae18

101220331032 has 48 divisors (see below), whose sum is σ = 274285594440. Its totient is φ = 33721993728.

The previous prime is 101220331031. The next prime is 101220331033. The reversal of 101220331032 is 230133022101.

101220331032 is a `hidden beast` number, since 101 + 220 + 3 + 310 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (101220331031) and next prime (101220331033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101220330996 and 101220331014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220331031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242073 + ... + 510920.

Almost surely, 2101220331032 is an apocalyptic number.

101220331032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101220331032 is an abundant number, since it is smaller than the sum of its proper divisors (173065263408).

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

101220331032 is a wasteful number, since it uses less digits than its factorization.

101220331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754872 (or 754865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101220331032 its reverse (230133022101), we get a palindrome (331353353133).

The spelling of 101220331032 in words is "one hundred one billion, two hundred twenty million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1867 3734 5601 7468 11202 14936 16803 22404 33606 44808 67212 134424 752993 1505986 2258979 3011972 4517958 6023944 6776937 9035916 13553874 18071832 27107748 54215496 1405837931 2811675862 4217513793 5623351724 8435027586 11246703448 12652541379 16870055172 25305082758 33740110344 50610165516 101220331032