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1110230131104 = 253211356236067
BaseRepresentation
bin10000001001111110110…
…111110110000110100000
310221010200211212021101100
4100021332313312012200
5121142222403143404
62210011020434400
7143132352256443
oct20117667660640
93833624767340
101110230131104
11398933a689a6
1215b2059a8a00
138090436c5a3
143ba4201365a
151dd2db6ad39
hex1027edf61a0

1110230131104 has 144 divisors (see below), whose sum is σ = 3186248450112. Its totient is φ = 366676015104.

The previous prime is 1110230131099. The next prime is 1110230131151. The reversal of 1110230131104 is 4011310320111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11102301311042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182991879 + ... + 182997945.

It is an arithmetic number, because the mean of its divisors is an integer number (22126725348).

Almost surely, 21110230131104 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 1110230131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593124225056).

1110230131104 is an abundant number, since it is smaller than the sum of its proper divisors (2076018319008).

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

1110230131104 is a wasteful number, since it uses less digits than its factorization.

1110230131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11819 (or 11808 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1110230131104 its reverse (4011310320111), we get a palindrome (5121540451215).

The spelling of 1110230131104 in words is "one trillion, one hundred ten billion, two hundred thirty million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 5623 6067 8136 10848 11246 12134 16272 16869 18201 22492 24268 32544 33738 36402 44984 48536 50607 54603 67476 72804 89968 97072 101214 109206 134952 145608 179936 194144 202428 218412 269904 291216 404856 436824 539808 582432 635399 685571 809712 873648 1270798 1371142 1619424 1747296 1906197 2056713 2541596 2742284 3812394 4113426 5083192 5484568 5718591 6170139 7624788 8226852 10166384 10969136 11437182 12340278 15249576 16453704 20332768 21938272 22874364 24680556 30499152 32907408 34114741 45748728 49361112 60998304 65814816 68229482 91497456 98722224 102344223 136458964 182994912 197444448 204688446 272917928 307032669 409376892 545835856 614065338 818753784 1091671712 1228130676 1637507568 2456261352 3275015136 3854965733 4912522704 7709931466 9825045408 11564897199 15419862932 23129794398 30839725864 34694691597 46259588796 61679451728 69389383194 92519177592 123358903456 138778766388 185038355184 277557532776 370076710368 555115065552 1110230131104