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2131222020 = 2235192816653
BaseRepresentation
bin111111100000111…
…1101111000000100
312111112021021222220
41333001331320010
513331043101040
6551251252340
7103546042164
oct17701757004
95445237886
102131222020
119a4023714
124b58aa0b0
1327c700125
141630965a4
15c71832d0
hex7f07de04

2131222020 has 96 divisors (see below), whose sum is σ = 6304798080. Its totient is φ = 536417280.

The previous prime is 2131222019. The next prime is 2131222031. The reversal of 2131222020 is 202221312.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 317014 + ... + 323666.

It is an arithmetic number, because the mean of its divisors is an integer number (65674980).

Almost surely, 22131222020 is an apocalyptic number.

2131222020 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 2131222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152399040).

2131222020 is an abundant number, since it is smaller than the sum of its proper divisors (4173576060).

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

2131222020 is a wasteful number, since it uses less digits than its factorization.

2131222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2131222020 is about 46165.1602401638. The cubic root of 2131222020 is about 1286.8943620886.

Adding to 2131222020 its reverse (202221312), we get a palindrome (2333443332).

The spelling of 2131222020 in words is "two billion, one hundred thirty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 281 285 380 562 570 843 1124 1140 1405 1686 2810 3372 4215 5339 5620 6653 8430 10678 13306 16017 16860 19959 21356 26612 26695 32034 33265 39918 53390 64068 66530 79836 80085 99795 106780 126407 133060 160170 199590 252814 320340 379221 399180 505628 632035 758442 1264070 1516884 1869493 1896105 2528140 3738986 3792210 5608479 7477972 7584420 9347465 11216958 18694930 22433916 28042395 35520367 37389860 56084790 71040734 106561101 112169580 142081468 177601835 213122202 355203670 426244404 532805505 710407340 1065611010 2131222020