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131122126020 = 22353057771471
BaseRepresentation
bin111101000011101111…
…1001101110011000100
3110112110010102011010210
41322013133031303010
54122014231013040
6140123042115420
712321220452534
oct1720737156304
9415403364123
10131122126020
1150677027006
12214b464bb70
13c498501522
1464bc5274c4
15362661a480
hex1e877cdcc4

131122126020 has 48 divisors (see below), whose sum is σ = 367159097088. Its totient is φ = 34964267520.

The previous prime is 131122125941. The next prime is 131122126021. The reversal of 131122126020 is 20621221131.

It is a super-3 number, since 3×1311221260203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (131122126021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798885 + ... + 1870355.

It is an arithmetic number, because the mean of its divisors is an integer number (7649147856).

Almost surely, 2131122126020 is an apocalyptic number.

131122126020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131122126020 is an abundant number, since it is smaller than the sum of its proper divisors (236036971068).

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

131122126020 is a wasteful number, since it uses less digits than its factorization.

131122126020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102060 (or 102058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131122126020 its reverse (20621221131), we get a palindrome (151743347151).

The spelling of 131122126020 in words is "one hundred thirty-one billion, one hundred twenty-two million, one hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 30577 61154 71471 91731 122308 142942 152885 183462 214413 285884 305770 357355 366924 428826 458655 611540 714710 857652 917310 1072065 1429420 1834620 2144130 4288260 2185368767 4370737534 6556106301 8741475068 10926843835 13112212602 21853687670 26224425204 32780531505 43707375340 65561063010 131122126020