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131430354030 = 2335590382463
BaseRepresentation
bin111101001100111011…
…1000000110001101110
3110120020121101202111000
41322121313000301232
54123132132312110
6140213412341130
712331652401503
oct1723167006156
9416217352430
10131430354030
11508150102a8
122157b9147a6
13c517320471
14650b43d4aa
1536437021c0
hex1e99dc0c6e

131430354030 has 64 divisors (see below), whose sum is σ = 350544568320. Its totient is φ = 35041732128.

The previous prime is 131430354001. The next prime is 131430354043. The reversal of 131430354030 is 30453034131.

131430354030 is a `hidden beast` number, since 1 + 314 + 303 + 5 + 40 + 3 + 0 = 666.

It is a super-2 number, since 2×1314303540302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131430353985 and 131430354003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552579 + ... + 1635041.

It is an arithmetic number, because the mean of its divisors is an integer number (5477258880).

Almost surely, 2131430354030 is an apocalyptic number.

131430354030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131430354030 is an abundant number, since it is smaller than the sum of its proper divisors (219114214290).

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

131430354030 is a wasteful number, since it uses less digits than its factorization.

131430354030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88382 (or 88376 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 131430354030 its reverse (30453034131), we get a palindrome (161883388161).

The spelling of 131430354030 in words is "one hundred thirty-one billion, four hundred thirty million, three hundred fifty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 5903 11806 17709 29515 35418 53127 59030 82463 88545 106254 159381 164926 177090 247389 265635 318762 412315 494778 531270 742167 796905 824630 1236945 1484334 1593810 2226501 2473890 3710835 4453002 7421670 11132505 22265010 486779089 973558178 1460337267 2433895445 2920674534 4381011801 4867790890 7301686335 8762023602 13143035403 14603372670 21905059005 26286070806 43810118010 65715177015 131430354030