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131002120122000 = 24353172111608401
BaseRepresentation
bin11101110010010101001110…
…110101011010111010010000
3122011211200100222211001212220
4131302111032311122322100
5114132314320222401000
61142341313154021040
736410406442202301
oct3562251665327220
9564750328731786
10131002120122000
1138817761655166
1212839108b77780
1358135a6b6568a
14244c77200c7a8
1510229ebeee1a0
hex77254ed5ae90

131002120122000 has 320 divisors, whose sum is σ = 447407577796608. Its totient is φ = 32863334400000.

The previous prime is 131002120121993. The next prime is 131002120122001. The reversal of 131002120122000 is 221021200131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131002120122001) 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, 215017800 + ... + 215626200.

Almost surely, 2131002120122000 is an apocalyptic number.

131002120122000 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 131002120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223703788898304).

131002120122000 is an abundant number, since it is smaller than the sum of its proper divisors (316405457674608).

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

131002120122000 is a wasteful number, since it uses less digits than its factorization.

131002120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610555 (or 610539 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131002120122000 its reverse (221021200131), we get a palindrome (131223141322131).

The spelling of 131002120122000 in words is "one hundred thirty-one trillion, two billion, one hundred twenty million, one hundred twenty-two thousand".