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131122221032 = 231119411912741
BaseRepresentation
bin111101000011101111…
…1100100111111101000
3110112110010120222110202
41322013133210333220
54122014242033112
6140123044131332
712321221326535
oct1720737447750
9415403528422
10131122221032
1150677091430
12214b4696b48
13c49853584a
1464bc54dd8c
1536266386c2
hex1e877e4fe8

131122221032 has 64 divisors (see below), whose sum is σ = 289206590400. Its totient is φ = 55086912000.

The previous prime is 131122221023. The next prime is 131122221103. The reversal of 131122221032 is 230122221131.

It is a junction number, because it is equal to n+sod(n) for n = 131122220995 and 131122221013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887819 + ... + 1024922.

It is an arithmetic number, because the mean of its divisors is an integer number (4518852975).

Almost surely, 2131122221032 is an apocalyptic number.

It is an amenable number.

131122221032 is an abundant number, since it is smaller than the sum of its proper divisors (158084369368).

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

131122221032 is a wasteful number, since it uses less digits than its factorization.

131122221032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912818 (or 1912814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131122221032 its reverse (230122221131), we get a palindrome (361244442163).

Subtracting 131122221032 from its reverse (230122221131), we obtain a palindrome (99000000099).

The spelling of 131122221032 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 41 44 76 82 88 152 164 209 328 418 451 779 836 902 1558 1672 1804 3116 3608 6232 8569 17138 34276 68552 1912741 3825482 7650964 15301928 21040151 36342079 42080302 72684158 78422381 84160604 145368316 156844762 168321208 290736632 313689524 399762869 627379048 799525738 862646191 1490025239 1599051476 1725292382 2980050478 3198102952 3450584764 5960100956 6901169528 11920201912 16390277629 32780555258 65561110516 131122221032