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1100130654456 = 2332109212965843
BaseRepresentation
bin10000000000100100111…
…001011001100011111000
310220011121222220200221200
4100000210321121203320
5121011031421420311
62201220521534200
7142324156162221
oct20004471314370
93804558820850
101100130654456
1139462108a689
12159267644360
137c984b928c2
143b364998248
151d93c1ad556
hex10024e598f8

1100130654456 has 96 divisors (see below), whose sum is σ = 3008313594000. Its totient is φ = 363169723392.

The previous prime is 1100130654449. The next prime is 1100130654479. The reversal of 1100130654456 is 6544560310011.

1100130654456 is a `hidden beast` number, since 1 + 10 + 0 + 130 + 65 + 4 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1100130654456.

It is a congruent number.

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, 16675471 + ... + 16741313.

Almost surely, 21100130654456 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 1100130654456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504156797000).

1100130654456 is an abundant number, since it is smaller than the sum of its proper divisors (1908182939544).

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

1100130654456 is a wasteful number, since it uses less digits than its factorization.

1100130654456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68093 (or 68086 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 1100130654456 its reverse (6544560310011), we get a palindrome (7644690964467).

The spelling of 1100130654456 in words is "one trillion, one hundred billion, one hundred thirty million, six hundred fifty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2129 2616 3924 4258 6387 7848 8516 12774 17032 19161 25548 38322 51096 65843 76644 131686 153288 197529 232061 263372 395058 464122 526744 592587 696183 790116 928244 1185174 1392366 1580232 1856488 2088549 2370348 2784732 4177098 4740696 5569464 7176887 8354196 14353774 16708392 21530661 28707548 43061322 57415096 64591983 86122644 129183966 140179747 172245288 258367932 280359494 420539241 516735864 560718988 841078482 1121437976 1261617723 1682156964 2523235446 3364313928 5046470892 10092941784 15279592423 30559184846 45838777269 61118369692 91677554538 122236739384 137516331807 183355109076 275032663614 366710218152 550065327228 1100130654456