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20331323140 = 2253713121601
BaseRepresentation
bin10010111011110101…
…110101111100000100
31221110220222020011011
4102323311311330010
5313114304320030
613201242452004
71316554252402
oct227365657404
957426866134
1020331323140
118693557aa7
123b34b04004
131bc0221a2b
14dac2d0472
157dedb5b2a
hex4bbd75f04

20331323140 has 72 divisors (see below), whose sum is σ = 44214604056. Its totient is φ = 7847424000.

The previous prime is 20331323113. The next prime is 20331323143. The reversal of 20331323140 is 4132313302.

It can be written as a sum of positive squares in 4 ways, for example, as 12810617856 + 7520705284 = 113184^2 + 86722^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331323143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12698340 + ... + 12699940.

It is an arithmetic number, because the mean of its divisors is an integer number (614091723).

Almost surely, 220331323140 is an apocalyptic number.

20331323140 is a gapful number since it is divisible by the number (20) 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 20331323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107302028).

20331323140 is an abundant number, since it is smaller than the sum of its proper divisors (23883280916).

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

20331323140 is a wasteful number, since it uses less digits than its factorization.

20331323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20331323140 its reverse (4132313302), we get a palindrome (24463636442).

The spelling of 20331323140 in words is "twenty billion, three hundred thirty-one million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 131 148 185 262 370 524 655 740 1310 1601 2620 3202 4847 6404 8005 9694 16010 17161 19388 24235 32020 34322 48470 59237 68644 85805 96940 118474 171610 209731 236948 296185 343220 419462 592370 634957 838924 1048655 1184740 1269914 2097310 2539828 3174785 4194620 6349570 7760047 12699140 15520094 27474761 31040188 38800235 54949522 77600470 109899044 137373805 155200940 274747610 549495220 1016566157 2033132314 4066264628 5082830785 10165661570 20331323140