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1110104420202 = 234239715120341
BaseRepresentation
bin10000001001110111011…
…000010010111101101010
310221010101002022111110000
4100021313120102331222
5121141443212421302
62205550330203430
7143126264611401
oct20116730227552
93833332274400
101110104420202
1139887a006498
1215b18b883576
13808b42c613b
143ba2d44c638
151dd22ad831c
hex10277612f6a

1110104420202 has 160 divisors (see below), whose sum is σ = 2639861731584. Its totient is φ = 347960448000.

The previous prime is 1110104420147. The next prime is 1110104420203. The reversal of 1110104420202 is 2020244010111.

1110104420202 is a `hidden beast` number, since 1 + 1 + 10 + 10 + 442 + 0 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1110104420203) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54564552 + ... + 54584892.

Almost surely, 21110104420202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110104420202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319930865792).

1110104420202 is an abundant number, since it is smaller than the sum of its proper divisors (1529757311382).

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

1110104420202 is a wasteful number, since it uses less digits than its factorization.

1110104420202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20626 (or 20617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1110104420202 its reverse (2020244010111), we get a palindrome (3130348430313).

The spelling of 1110104420202 in words is "one trillion, one hundred ten billion, one hundred four million, four hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 97 138 151 162 194 207 291 302 414 453 582 621 873 906 1242 1359 1746 1863 2231 2619 2718 3473 3726 4077 4462 5238 6693 6946 7857 8154 10419 12231 13386 14647 15714 20079 20341 20838 24462 29294 31257 40158 40682 43941 60237 61023 62514 87882 93771 120474 122046 131823 180711 183069 187542 263646 281313 336881 361422 366138 395469 467843 549207 562626 673762 790938 935686 1010643 1098414 1186407 1403529 1647621 1973077 2021286 2372814 2807058 3031929 3071491 3295242 3946154 4210587 5919231 6063858 6142982 8421174 9095787 9214473 11838462 12631761 17757693 18191574 18428946 25263522 27287361 27643419 35515386 37895283 45380771 53273079 54574722 55286838 70644293 75790566 82930257 90761542 106546158 136142313 141288586 159819237 165860514 211932879 248790771 272284626 297934627 319638474 408426939 423865758 497581542 595869254 635798637 816853878 893803881 1225280817 1271597274 1787607762 1907395911 2450561634 2681411643 3675842451 3814791822 5362823286 5722187733 6852496421 7351684902 8044234929 11444375466 13704992842 16088469858 20557489263 24132704787 41114978526 48265409574 61672467789 123344935578 185017403367 370034806734 555052210101 1110104420202