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13130121330 = 2335130137379
BaseRepresentation
bin11000011101001110…
…11100000001110010
31020220001122021101000
430032213130001302
5203342302340310
610010520022430
7643243122054
oct141647340162
936801567330
1013130121330
11562867a547
122665301a16
131313330781
148c7b5b8d4
1551caa64c0
hex30e9dc072

13130121330 has 64 divisors (see below), whose sum is σ = 35041507200. Its totient is φ = 3498580800.

The previous prime is 13130121289. The next prime is 13130121353. The reversal of 13130121330 is 3312103131.

It is a happy number.

13130121330 is a `hidden beast` number, since 1 + 31 + 301 + 2 + 1 + 330 = 666.

It is a super-2 number, since 2×131301213302 (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, 332581 + ... + 369959.

It is an arithmetic number, because the mean of its divisors is an integer number (547523550).

Almost surely, 213130121330 is an apocalyptic number.

13130121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130121330 is an abundant number, since it is smaller than the sum of its proper divisors (21911385870).

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

13130121330 is a wasteful number, since it uses less digits than its factorization.

13130121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38696 (or 38690 counting only the distinct ones).

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

Adding to 13130121330 its reverse (3312103131), we get a palindrome (16442224461).

The spelling of 13130121330 in words is "thirteen billion, one hundred thirty million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1301 2602 3903 6505 7806 11709 13010 19515 23418 35127 37379 39030 58545 70254 74758 112137 117090 175635 186895 224274 336411 351270 373790 560685 672822 1009233 1121370 1682055 2018466 3364110 5046165 10092330 48630079 97260158 145890237 243150395 291780474 437670711 486300790 729451185 875341422 1313012133 1458902370 2188353555 2626024266 4376707110 6565060665 13130121330