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1313023001312 = 2511172089105037
BaseRepresentation
bin10011000110110110010…
…001010000001011100000
311122112010211102110120002
4103012312101100023200
5133003032342020222
62443105555435132
7163601635235261
oct23066621201340
94575124373502
101313023001312
114669392878a0
121925808b5aa8
1396a82190689
144779cdc0968
152424c3bc392
hex131b64502e0

1313023001312 has 96 divisors (see below), whose sum is σ = 2987356347360. Its totient is φ = 561446830080.

The previous prime is 1313023001299. The next prime is 1313023001333. The reversal of 1313023001312 is 2131003203131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12448058 + ... + 12553094.

It is an arithmetic number, because the mean of its divisors is an integer number (31118295285).

Almost surely, 21313023001312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313023001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493678173680).

1313023001312 is an abundant number, since it is smaller than the sum of its proper divisors (1674333346048).

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

1313023001312 is a wasteful number, since it uses less digits than its factorization.

1313023001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107164 (or 107156 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1313023001312 its reverse (2131003203131), we get a palindrome (3444026204443).

The spelling of 1313023001312 in words is "one trillion, three hundred thirteen billion, twenty-three million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2089 2992 4178 5984 8356 16712 22979 33424 35513 45958 66848 71026 91916 105037 142052 183832 210074 284104 367664 390643 420148 568208 735328 781286 840296 1136416 1155407 1562572 1680592 1785629 2310814 3125144 3361184 3571258 4621628 6250288 7142516 9243256 12500576 14285032 18486512 19641919 28570064 36973024 39283838 57140128 78567676 157135352 219422293 314270704 438844586 628541408 877689172 1755378344 2413645223 3510756688 3730178981 4827290446 7021513376 7460357962 9654580892 14920715924 19309161784 29841431848 38618323568 41031968791 59682863696 77236647136 82063937582 119365727392 164127875164 328255750328 656511500656 1313023001312