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20033131013120 = 2105171915118017
BaseRepresentation
bin1001000111000010100111…
…01010000110010000000000
32121221011000100022100120202
410203201103222012100000
510111210323014404440
6110335032054424332
74135226443003601
oct443412352062000
977834010270522
1020033131013120
116424004215615
1222b667b0620a8
13b24168242004
144d3874453da8
1524b1937d2615
hex123853a86400

20033131013120 has 352 divisors, whose sum is σ = 53603042008320. Its totient is φ = 7139324067840.

The previous prime is 20033131013059. The next prime is 20033131013183. The reversal of 20033131013120 is 2131013133002.

It is a super-2 number, since 2×200331310131202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20033131013092 and 20033131013101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2498827352 + ... + 2498835368.

Almost surely, 220033131013120 is an apocalyptic number.

20033131013120 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 20033131013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26801521004160).

20033131013120 is an abundant number, since it is smaller than the sum of its proper divisors (33569910995200).

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

20033131013120 is a wasteful number, since it uses less digits than its factorization.

20033131013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9589 (or 9571 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 20033131013120 its reverse (2131013133002), we get a palindrome (22164144146122).

The spelling of 20033131013120 in words is "twenty trillion, thirty-three billion, one hundred thirty-one million, thirteen thousand, one hundred twenty".