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1110311342320 = 24571237782237
BaseRepresentation
bin10000001010000011101…
…101101001000011110000
310221010220111200020020011
4100022003231221003300
5121142404200423240
62210023041224304
7143134356456025
oct20120355510360
93833814606204
101110311342320
11398975897104
1215b229032094
138091813506b
143ba4cb1354c
151dd35d5d6ea
hex10283b690f0

1110311342320 has 80 divisors (see below), whose sum is σ = 2618965821888. Its totient is φ = 437679728640.

The previous prime is 1110311342269. The next prime is 1110311342321. The reversal of 1110311342320 is 232431130111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1110311342291 and 1110311342300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110311342321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13460242 + ... + 13542478.

Almost surely, 21110311342320 is an apocalyptic number.

1110311342320 is a gapful number since it is divisible by the number (10) 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 1110311342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309482910944).

1110311342320 is an abundant number, since it is smaller than the sum of its proper divisors (1508654479568).

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

1110311342320 is a wasteful number, since it uses less digits than its factorization.

1110311342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84698 (or 84692 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1110311342320 its reverse (232431130111), we get a palindrome (1342742472431).

The spelling of 1110311342320 in words is "one trillion, one hundred ten billion, three hundred eleven million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2377 2840 4754 5680 9508 11885 19016 23770 38032 47540 82237 95080 164474 168767 190160 328948 337534 411185 657896 675068 822370 843835 1315792 1350136 1644740 1687670 2700272 3289480 3375340 5838827 6578960 6750680 11677654 13501360 23355308 29194135 46710616 58388270 93421232 116776540 195477349 233553080 390954698 467106160 781909396 977386745 1563818792 1954773490 3127637584 3909546980 7819093960 13878891779 15638187920 27757783558 55515567116 69394458895 111031134232 138788917790 222062268464 277577835580 555155671160 1110311342320