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13131120330 = 2335295716447
BaseRepresentation
bin11000011101010110…
…01111111011001010
31020220010112000202000
430032223033323022
5203343031322310
610010553251430
7643254452436
oct141653177312
936803460660
1013131120330
1156291a2069
122665703b76
1313135c03b3
148c7d3b9c6
1551cc024c0
hex30eacfeca

13131120330 has 64 divisors (see below), whose sum is σ = 35030292480. Its totient is φ = 3500235072.

The previous prime is 13131120323. The next prime is 13131120377. The reversal of 13131120330 is 3302113131.

It is a happy number.

13131120330 is a `hidden beast` number, since 1 + 3 + 1 + 311 + 20 + 330 = 666.

It is a super-2 number, since 2×131311203302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 790167 + ... + 806613.

It is an arithmetic number, because the mean of its divisors is an integer number (547348320).

Almost surely, 213131120330 is an apocalyptic number.

13131120330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131120330 is an abundant number, since it is smaller than the sum of its proper divisors (21899172150).

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

13131120330 is a wasteful number, since it uses less digits than its factorization.

13131120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19420 (or 19414 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13131120330 its reverse (3302113131), we get a palindrome (16433233461).

The spelling of 13131120330 in words is "thirteen billion, one hundred thirty-one million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2957 5914 8871 14785 16447 17742 26613 29570 32894 44355 49341 53226 79839 82235 88710 98682 133065 148023 159678 164470 246705 266130 296046 399195 444069 493410 740115 798390 888138 1480230 2220345 4440690 48633779 97267558 145901337 243168895 291802674 437704011 486337790 729506685 875408022 1313112033 1459013370 2188520055 2626224066 4377040110 6565560165 13131120330