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1102020111516 = 2232389202922111
BaseRepresentation
bin10000000010010101100…
…001000110110010011100
310220100111200021001202210
4100002111201012302130
5121023414122032031
62202132215320420
7142422041251332
oct20022541066234
93810450231683
101102020111516
11395400694745
121596b4380110
137cbc647472c
143b4a38b9b52
151d9eced7746
hex10095846c9c

1102020111516 has 96 divisors (see below), whose sum is σ = 2714787532800. Its totient is φ = 347233835520.

The previous prime is 1102020111473. The next prime is 1102020111547. The reversal of 1102020111516 is 6151110202011.

It is a junction number, because it is equal to n+sod(n) for n = 1102020111492 and 1102020111501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49829301 + ... + 49851411.

It is an arithmetic number, because the mean of its divisors is an integer number (28279036800).

Almost surely, 21102020111516 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 1102020111516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357393766400).

1102020111516 is an abundant number, since it is smaller than the sum of its proper divisors (1612767421284).

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

1102020111516 is a wasteful number, since it uses less digits than its factorization.

1102020111516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24259 (or 24257 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 21.

Adding to 1102020111516 its reverse (6151110202011), we get a palindrome (7253130313527).

The spelling of 1102020111516 in words is "one trillion, one hundred two billion, twenty million, one hundred eleven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 89 92 138 178 267 276 356 534 1068 2029 2047 4058 4094 6087 6141 8116 8188 12174 12282 22111 24348 24564 44222 46667 66333 88444 93334 132666 140001 180581 186668 265332 280002 361162 508553 541743 560004 722324 1017106 1083486 1525659 1967879 2034212 2166972 3051318 3935758 4153363 5903637 6102636 7871516 8306726 11807274 12460089 16613452 23614548 24920178 44863219 45261217 49840356 89726438 90522434 134589657 135783651 179452876 181044868 269179314 271567302 538358628 543134604 1031854037 2063708074 3095562111 3992826491 4127416148 6191124222 7985652982 11978479473 12382248444 15971305964 23956958946 47913917892 91835009293 183670018586 275505027879 367340037172 551010055758 1102020111516