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131021420 = 225292231013
BaseRepresentation
bin1111100111100…
…11101001101100
3100010112120121012
413303303221230
5232020141140
621000124352
73150443435
oct763635154
9303476535
10131021420
1167a5a372
1237a666b8
13211b568a
141358848c
15b781265
hex7cf3a6c

131021420 has 48 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 50324736.

The previous prime is 131021413. The next prime is 131021441. The reversal of 131021420 is 24120131.

It is a super-2 number, since 2×1310214202 = 34333224997632800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131021395 and 131021404.

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 15 ways as a sum of consecutive naturals, for example, 128834 + ... + 129846.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2131021420 is an apocalyptic number.

131021420 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 131021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

131021420 is an abundant number, since it is smaller than the sum of its proper divisors (155169940).

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

131021420 is a wasteful number, since it uses less digits than its factorization.

131021420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131021420 is about 11446.4588410565. The cubic root of 131021420 is about 507.9029874474.

Adding to 131021420 its reverse (24120131), we get a palindrome (155141551).

The spelling of 131021420 in words is "one hundred thirty-one million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 223 290 446 580 892 1013 1115 2026 2230 4052 4460 5065 6467 10130 12934 20260 25868 29377 32335 58754 64670 117508 129340 146885 225899 293770 451798 587540 903596 1129495 2258990 4517980 6551071 13102142 26204284 32755355 65510710 131021420