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131052020 = 22511837177
BaseRepresentation
bin1111100111110…
…11000111110100
3100010121010120112
413303323013310
5232022131040
621000522152
73150631601
oct763730764
9303533515
10131052020
1167a80360
1237a80358
13211c6598
14135956a8
15b78a365
hex7cfb1f4

131052020 has 48 divisors (see below), whose sum is σ = 303887808. Its totient is φ = 47074560.

The previous prime is 131052017. The next prime is 131052023. The reversal of 131052020 is 20250131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131052017) and next prime (131052023).

It is a junction number, because it is equal to n+sod(n) for n = 131051986 and 131052004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131052023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14672 + ... + 21848.

It is an arithmetic number, because the mean of its divisors is an integer number (6330996).

Almost surely, 2131052020 is an apocalyptic number.

131052020 is a gapful number since it is divisible by the number (10) 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 131052020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151943904).

131052020 is an abundant number, since it is smaller than the sum of its proper divisors (172835788).

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

131052020 is a wasteful number, since it uses less digits than its factorization.

131052020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 131052020 is about 11447.7954209533. The cubic root of 131052020 is about 507.9425245492.

The spelling of 131052020 in words is "one hundred thirty-one million, fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 7177 9130 14354 18260 28708 35885 71770 78947 143540 157894 315788 394735 595691 789470 1191382 1578940 2382764 2978455 5956910 6552601 11913820 13105202 26210404 32763005 65526010 131052020