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122032313020 = 22523883300439
BaseRepresentation
bin111000110100110110…
…0010101001010111100
3102122222122022210212001
41301221230111022330
53444410233004040
6132021051552044
711550034355152
oct1615154251274
9378878283761
10122032313020
1147832071a62
121b79845b624
13b67a266457
145c992133d2
1532935ec59a
hex1c69b152bc

122032313020 has 48 divisors (see below), whose sum is σ = 267713671680. Its totient is φ = 46637591616.

The previous prime is 122032313009. The next prime is 122032313021. The reversal of 122032313020 is 20313230221.

It is a super-2 number, since 2×1220323130202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122032313021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255961 + ... + 556399.

It is an arithmetic number, because the mean of its divisors is an integer number (5577368160).

Almost surely, 2122032313020 is an apocalyptic number.

122032313020 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 122032313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133856835840).

122032313020 is an abundant number, since it is smaller than the sum of its proper divisors (145681358660).

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

122032313020 is a wasteful number, since it uses less digits than its factorization.

122032313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301354 (or 301352 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 122032313020 its reverse (20313230221), we get a palindrome (142345543241).

The spelling of 122032313020 in words is "one hundred twenty-two billion, thirty-two million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 883 1766 3532 4415 8830 17660 20309 40618 81236 101545 203090 300439 406180 600878 1201756 1502195 3004390 6008780 6910097 13820194 27640388 34550485 69100970 138201940 265287637 530575274 1061150548 1326438185 2652876370 5305752740 6101615651 12203231302 24406462604 30508078255 61016156510 122032313020