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131803122 = 23112712557
BaseRepresentation
bin1111101101100…
…10011111110010
3100012000021220010
413312302133302
5232220144442
621024555350
73160210443
oct766623762
9305007803
10131803122
1168443700
1238182b56
13213ca419
141370d2ca
15b887b9c
hex7db27f2

131803122 has 48 divisors (see below), whose sum is σ = 293944896. Its totient is φ = 39362400.

The previous prime is 131803121. The next prime is 131803123. The reversal of 131803122 is 221308131.

It is an interprime number because it is at equal distance from previous prime (131803121) and next prime (131803123).

It is not an unprimeable number, because it can be changed into a prime (131803121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50268 + ... + 52824.

It is an arithmetic number, because the mean of its divisors is an integer number (6123852).

Almost surely, 2131803122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131803122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146972448).

131803122 is an abundant number, since it is smaller than the sum of its proper divisors (162141774).

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

131803122 is a wasteful number, since it uses less digits than its factorization.

131803122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 131803122 is about 11480.5540807053. The cubic root of 131803122 is about 508.9110714728.

The spelling of 131803122 in words is "one hundred thirty-one million, eight hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 121 142 213 242 363 426 726 781 1562 2343 2557 4686 5114 7671 8591 15342 17182 25773 28127 51546 56254 84381 168762 181547 309397 363094 544641 618794 928191 1089282 1856382 1997017 3994034 5991051 11982102 21967187 43934374 65901561 131803122