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1001131311120 = 24354171380463
BaseRepresentation
bin11101001000110000001…
…00111000000000010000
310112201002120011222120220
432210120010320000100
5112400304103423440
62043525142233040
7132220652511123
oct16443004700020
93481076158526
101001131311120
11356639586766
12142038a25780
13735387901c5
14366527b63ba
151b095c348d0
hexe918138010

1001131311120 has 40 divisors (see below), whose sum is σ = 3103507065216. Its totient is φ = 266968349568.

The previous prime is 1001131311073. The next prime is 1001131311149. The reversal of 1001131311120 is 211131311001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001131311120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2085689992 + ... + 2085690471.

Almost surely, 21001131311120 is an apocalyptic number.

1001131311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001131311120 is an abundant number, since it is smaller than the sum of its proper divisors (2102375754096).

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

1001131311120 is a wasteful number, since it uses less digits than its factorization.

1001131311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171380479 (or 4171380473 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1001131311120 its reverse (211131311001), we get a palindrome (1212262622121).

The spelling of 1001131311120 in words is "one trillion, one billion, one hundred thirty-one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4171380463 8342760926 12514141389 16685521852 20856902315 25028282778 33371043704 41713804630 50056565556 62570706945 66742087408 83427609260 100113131112 125141413890 166855218520 200226262224 250282827780 333710437040 500565655560 1001131311120