Search a number
-
+
31011332220 = 223351119274777
BaseRepresentation
bin11100111000011010…
…110110000001111100
32222001020021220101000
4130320122312001330
51002002400112340
622125120250300
72145326655201
oct347032660174
988036256330
1031011332220
11121740a7990
126015770990
132c02a6c32b
1417028a5ca8
15c177e7d30
hex7386b607c

31011332220 has 192 divisors, whose sum is σ = 110790489600. Its totient is φ = 7122193920.

The previous prime is 31011332179. The next prime is 31011332251. The reversal of 31011332220 is 2223311013.

31011332220 is a `hidden beast` number, since 310 + 1 + 1 + 332 + 2 + 20 = 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 = 31011332193 and 31011332202.

It is a congruent number.

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, 24529 + ... + 250248.

It is an arithmetic number, because the mean of its divisors is an integer number (577033800).

Almost surely, 231011332220 is an apocalyptic number.

31011332220 is a gapful number since it is divisible by the number (30) 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 31011332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55395244800).

31011332220 is an abundant number, since it is smaller than the sum of its proper divisors (79779157380).

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

31011332220 is a wasteful number, since it uses less digits than its factorization.

31011332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274825 (or 274817 counting only the distinct ones).

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

Adding to 31011332220 its reverse (2223311013), we get a palindrome (33234643233).

The spelling of 31011332220 in words is "thirty-one billion, eleven million, three hundred thirty-two thousand, two hundred twenty".