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1102032411036 = 2231948726633727
BaseRepresentation
bin10000000010010110010…
…000000001100110011100
310220100112112101221112120
4100002112100001212130
5121023430244123121
62202133335102540
7142422250636104
oct20022620014634
93810475357476
101102032411036
11395407625537
121596b8511a50
137cbc8b8cb5b
143b4a539c204
151d9ee116bc6
hex1009640199c

1102032411036 has 96 divisors (see below), whose sum is σ = 2714050805760. Its totient is φ = 347072071104.

The previous prime is 1102032410987. The next prime is 1102032411041. The reversal of 1102032411036 is 6301142302011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1102032410997 and 1102032411015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295687005 + ... + 295690731.

It is an arithmetic number, because the mean of its divisors is an integer number (28271362560).

Almost surely, 21102032411036 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 1102032411036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357025402880).

1102032411036 is an abundant number, since it is smaller than the sum of its proper divisors (1612018394724).

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

1102032411036 is a wasteful number, since it uses less digits than its factorization.

1102032411036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1102032411036 its reverse (6301142302011), we get a palindrome (7403174713047).

The spelling of 1102032411036 in words is "one trillion, one hundred two billion, thirty-two million, four hundred eleven thousand, thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 487 974 1461 1948 2663 2922 3727 5326 5844 7454 7989 9253 10652 11181 14908 15978 18506 22362 27759 31956 37012 44724 50597 55518 70813 101194 111036 141626 151791 202388 212439 283252 303582 424878 607164 849756 1296881 1815049 2593762 3630098 3890643 5187524 5445147 7260196 7781286 9925001 10890294 15562572 19850002 21780588 24640739 29775003 34485931 39700004 49281478 59550006 68971862 73922217 98562956 103457793 119100012 137943724 147844434 188575019 206915586 295688868 377150038 413831172 565725057 754300076 1131450114 2262900228 4833475487 9666950974 14500426461 19333901948 29000852922 58001705844 91836034253 183672068506 275508102759 367344137012 551016205518 1102032411036