Search a number
-
+
101031312222 = 2321737531011667
BaseRepresentation
bin101111000010111101…
…1110111101101011110
3100122210001020102122200
41132011323313231132
53123403003442342
6114225123352330
710204435661451
oct1360573675536
9318701212580
10101031312222
11399355a6255
12176b72226a6
1396b1390c69
144c65ddd498
152964a5394c
hex1785ef7b5e

101031312222 has 192 divisors, whose sum is σ = 245081588544. Its totient is φ = 29940019200.

The previous prime is 101031312209. The next prime is 101031312223. The reversal of 101031312222 is 222213130101.

101031312222 is a `hidden beast` number, since 101 + 0 + 31 + 312 + 222 = 666.

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 = 101031312195 and 101031312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031312223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60605833 + ... + 60607499.

It is an arithmetic number, because the mean of its divisors is an integer number (1276466607).

Almost surely, 2101031312222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031312222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122540794272).

101031312222 is an abundant number, since it is smaller than the sum of its proper divisors (144050276322).

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

101031312222 is a wasteful number, since it uses less digits than its factorization.

101031312222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101031312222 its reverse (222213130101), we get a palindrome (323244442323).

The spelling of 101031312222 in words is "one hundred one billion, thirty-one million, three hundred twelve thousand, two hundred twenty-two".