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2131120020 = 223546177047
BaseRepresentation
bin111111100000110…
…0100111110010100
312111112002010002010
41333001210332110
513331031320040
6551245144220
7103545135621
oct17701447624
95445063063
102131120020
119a3a64017
124b585b070
1327c695883
1416306b348
15c7162e80
hex7f064f94

2131120020 has 48 divisors (see below), whose sum is σ = 5980157568. Its totient is φ = 567058560.

The previous prime is 2131120001. The next prime is 2131120021. The reversal of 2131120020 is 200211312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2131119978 and 2131120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10864 + ... + 66183.

It is an arithmetic number, because the mean of its divisors is an integer number (124586616).

Almost surely, 22131120020 is an apocalyptic number.

2131120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131120020 is an abundant number, since it is smaller than the sum of its proper divisors (3849037548).

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

2131120020 is a wasteful number, since it uses less digits than its factorization.

2131120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77520 (or 77518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131120020 is about 46164.0554977571. The cubic root of 2131120020 is about 1286.8738315639.

Adding to 2131120020 its reverse (200211312), we get a palindrome (2331331332).

The spelling of 2131120020 in words is "two billion, one hundred thirty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 461 922 1383 1844 2305 2766 4610 5532 6915 9220 13830 27660 77047 154094 231141 308188 385235 462282 770470 924564 1155705 1540940 2311410 4622820 35518667 71037334 106556001 142074668 177593335 213112002 355186670 426224004 532780005 710373340 1065560010 2131120020