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1100042522120 = 235101919296287
BaseRepresentation
bin10000000000011111101…
…001001100111000001000
310220011101212002010010002
4100000133221030320020
5121010341341201440
62201204052542132
7142322036105513
oct20003751147010
93804355063102
101100042522120
11394586364543
12159242021948
137c96c845aa9
143b356db5d7a
151d9345a0115
hex1001fa4ce08

1100042522120 has 64 divisors (see below), whose sum is σ = 2502329932800. Its totient is φ = 435184876800.

The previous prime is 1100042522107. The next prime is 1100042522123. The reversal of 1100042522120 is 212252400011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1100042522092 and 1100042522101.

It is not an unprimeable number, because it can be changed into a prime (1100042522123) 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, 3564617 + ... + 3860903.

It is an arithmetic number, because the mean of its divisors is an integer number (39098905200).

Almost surely, 21100042522120 is an apocalyptic number.

1100042522120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100042522120 is an abundant number, since it is smaller than the sum of its proper divisors (1402287410680).

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

1100042522120 is a wasteful number, since it uses less digits than its factorization.

1100042522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297318 (or 297314 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1100042522120 its reverse (212252400011), we get a palindrome (1312294922131).

The spelling of 1100042522120 in words is "one trillion, one hundred billion, forty-two million, five hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 919 1010 1838 2020 3676 4040 4595 7352 9190 18380 36760 92819 185638 296287 371276 464095 592574 742552 928190 1185148 1481435 1856380 2370296 2962870 3712760 5925740 11851480 29924987 59849974 119699948 149624935 239399896 272287753 299249870 544575506 598499740 1089151012 1196999480 1361438765 2178302024 2722877530 5445755060 10891510120 27501063053 55002126106 110004252212 137505315265 220008504424 275010630530 550021261060 1100042522120