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120136331400 = 23352863232013
BaseRepresentation
bin110111111100010101…
…1101111000010001000
3102111002111200222000120
41233320223233002020
53432014400101100
6131105002303240
711452042653021
oct1577053570210
9374074628016
10120136331400
1146a499109a8
121b3494b7b20
13b43750b937
145b594b3c48
1531d1e350a0
hex1bf8aef088

120136331400 has 96 divisors (see below), whose sum is σ = 372855778560. Its totient is φ = 31999095040.

The previous prime is 120136331389. The next prime is 120136331407. The reversal of 120136331400 is 4133631021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (120136331407) 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, 401794 + ... + 633806.

It is an arithmetic number, because the mean of its divisors is an integer number (3883914360).

Almost surely, 2120136331400 is an apocalyptic number.

120136331400 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 120136331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186427889280).

120136331400 is an abundant number, since it is smaller than the sum of its proper divisors (252719447160).

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

120136331400 is a wasteful number, since it uses less digits than its factorization.

120136331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232895 (or 232886 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 120136331400 its reverse (4133631021), we get a palindrome (124269962421).

The spelling of 120136331400 in words is "one hundred twenty billion, one hundred thirty-six million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 863 1726 2589 3452 4315 5178 6904 8630 10356 12945 17260 20712 21575 25890 34520 43150 51780 64725 86300 103560 129450 172600 232013 258900 464026 517800 696039 928052 1160065 1392078 1856104 2320130 2784156 3480195 4640260 5568312 5800325 6960390 9280520 11600650 13920780 17400975 23201300 27841560 34801950 46402600 69603900 139207800 200227219 400454438 600681657 800908876 1001136095 1201363314 1601817752 2002272190 2402726628 3003408285 4004544380 4805453256 5005680475 6006816570 8009088760 10011360950 12013633140 15017041425 20022721900 24027266280 30034082850 40045443800 60068165700 120136331400