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13133100030120 = 23325729672682217
BaseRepresentation
bin1011111100011100100111…
…0000110001100010101000
31201111111211022200121202200
42333013021300301202220
53210133042101430440
643533132440100200
72523556314240420
oct277071160614250
951444738617680
1013133100030120
114203797651394
121581348764660
137435a4b988a5
143359070d5480
1517b94e74cc30
hexbf1c9c318a8

13133100030120 has 384 divisors, whose sum is σ = 51215343379200. Its totient is φ = 2855079456768.

The previous prime is 13133100030101. The next prime is 13133100030157. The reversal of 13133100030120 is 2103000133131.

It is a happy number.

13133100030120 is a `hidden beast` number, since 1 + 31 + 3 + 310 + 0 + 0 + 301 + 20 = 666.

It is a super-2 number, since 2×131331000301202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13133100030093 and 13133100030102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3555252 + ... + 6237468.

It is an arithmetic number, because the mean of its divisors is an integer number (133373290050).

Almost surely, 213133100030120 is an apocalyptic number.

13133100030120 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 13133100030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25607671689600).

13133100030120 is an abundant number, since it is smaller than the sum of its proper divisors (38082243349080).

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

13133100030120 is a wasteful number, since it uses less digits than its factorization.

13133100030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682337 (or 2682330 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13133100030120 its reverse (2103000133131), we get a palindrome (15236100163251).

The spelling of 13133100030120 in words is "thirteen trillion, one hundred thirty-three billion, one hundred million, thirty thousand, one hundred twenty".