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31112442020 = 22511279162739
BaseRepresentation
bin11100111110011100…
…100011000010100100
32222022021112210221102
4130332130203002210
51002204241121040
622143131335232
72150665252022
oct347634430244
988267483842
1031112442020
1112216187200
1260435b1518
132c1a9b100a
1417120a5712
15c2161b515
hex73e7230a4

31112442020 has 72 divisors (see below), whose sum is σ = 72725251200. Its totient is φ = 11170336320.

The previous prime is 31112441981. The next prime is 31112442103. The reversal of 31112442020 is 2024421113.

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 = 31112441983 and 31112442001.

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 23 ways as a sum of consecutive naturals, for example, 109811 + ... + 272549.

Almost surely, 231112442020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36362625600).

31112442020 is an abundant number, since it is smaller than the sum of its proper divisors (41612809180).

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

31112442020 is a wasteful number, since it uses less digits than its factorization.

31112442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162849 (or 162836 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31112442020 its reverse (2024421113), we get a palindrome (33136863133).

The spelling of 31112442020 in words is "thirty-one billion, one hundred twelve million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 121 158 220 242 316 395 484 605 790 869 1210 1580 1738 2420 3476 4345 8690 9559 17380 19118 38236 47795 95590 162739 191180 325478 650956 813695 1627390 1790129 3254780 3580258 7160516 8950645 12856381 17901290 19691419 25712762 35802580 39382838 51425524 64281905 78765676 98457095 128563810 141420191 196914190 257127620 282840382 393828380 565680764 707100955 1414201910 1555622101 2828403820 3111244202 6222488404 7778110505 15556221010 31112442020