Search a number
-
+
31422310020 = 223351134191229
BaseRepresentation
bin11101010000111010…
…100110011010000100
310000002212121201221000
4131100322212122010
51003323102410040
622234001053300
72161450141203
oct352072463204
9100085551830
1031422310020
1112365090662
12610b327230
132c69c5556a
1417412c723a
15c3d929130
hex750ea6684

31422310020 has 192 divisors, whose sum is σ = 98939232000. Its totient is φ = 8278566912.

The previous prime is 31422310001. The next prime is 31422310021. The reversal of 31422310020 is 2001322413.

31422310020 is a `hidden beast` number, since 314 + 22 + 310 + 0 + 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 = 31422309975 and 31422310002.

It is not an unprimeable number, because it can be changed into a prime (31422310021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25566766 + ... + 25567994.

It is an arithmetic number, because the mean of its divisors is an integer number (515308500).

Almost surely, 231422310020 is an apocalyptic number.

31422310020 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 31422310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49469616000).

31422310020 is an abundant number, since it is smaller than the sum of its proper divisors (67516921980).

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

31422310020 is a wasteful number, since it uses less digits than its factorization.

31422310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31422310020 its reverse (2001322413), we get a palindrome (33423632433).

The spelling of 31422310020 in words is "thirty-one billion, four hundred twenty-two million, three hundred ten thousand, twenty".