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1310331330132 = 2231153990118917
BaseRepresentation
bin10011000100010101110…
…101010101111001010100
311122021012020120101211220
4103010111311111321110
5132432024310031012
62441542523530340
7163445142351366
oct23042565257124
94567166511756
101310331330132
1146578796a460
12191b4b3899b0
1396743631c36
14475c5718d36
1524140e3008c
hex13115d55e54

1310331330132 has 96 divisors (see below), whose sum is σ = 3398843597184. Its totient is φ = 389518272000.

The previous prime is 1310331330067. The next prime is 1310331330173. The reversal of 1310331330132 is 2310331330131.

It is a super-2 number, since 2×13103313301322 (a number of 25 digits) contains 22 as substring.

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, 69257938 + ... + 69276854.

It is an arithmetic number, because the mean of its divisors is an integer number (35404620804).

Almost surely, 21310331330132 is an apocalyptic number.

1310331330132 is a gapful number since it is divisible by the number (12) 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 1310331330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699421798592).

1310331330132 is an abundant number, since it is smaller than the sum of its proper divisors (2088512267052).

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

1310331330132 is a wasteful number, since it uses less digits than its factorization.

1310331330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28889 (or 28887 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1310331330132 its reverse (2310331330131), we get a palindrome (3620662660263).

Subtracting 1310331330132 from its reverse (2310331330131), we obtain a palindrome (999999999999).

The spelling of 1310331330132 in words is "one trillion, three hundred ten billion, three hundred thirty-one million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 9901 18917 19802 29703 37834 39604 56751 59406 75668 108911 113502 118812 208087 217822 227004 326733 416174 435644 524753 624261 653466 832348 1002601 1049506 1248522 1306932 1574259 2005202 2099012 2497044 3007803 3148518 4010404 5772283 6015606 6297036 11028611 11544566 12031212 17316849 22057222 23089132 33085833 34633698 44114444 66171666 69267396 132343332 187297217 374594434 561891651 749188868 1123783302 2060269387 2247566604 4120538774 6180808161 8241077548 9926752501 12361616322 19853505002 24723232644 29780257503 39707010004 59560515006 109194277511 119121030012 218388555022 327582832533 436777110044 655165665066 1310331330132