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1110100020102 = 232293759974177
BaseRepresentation
bin10000001001110111000…
…111100000101110000110
310221010100210000221122100
4100021313013200232012
5121141441101120402
62205550052012530
7143126212324203
oct20116707405606
93833323027570
101110100020102
11398877580647
1215b18a301146
13808b3415428
143ba2ca24caa
151dd2251971c
hex102771e0b86

1110100020102 has 96 divisors (see below), whose sum is σ = 2598717232800. Its totient is φ = 341725353984.

The previous prime is 1110100020097. The next prime is 1110100020103. The reversal of 1110100020102 is 2010200010111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110100020103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652438 + ... + 1626614.

It is an arithmetic number, because the mean of its divisors is an integer number (27069971175).

Almost surely, 21110100020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110100020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299358616400).

1110100020102 is an abundant number, since it is smaller than the sum of its proper divisors (1488617212698).

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

1110100020102 is a wasteful number, since it uses less digits than its factorization.

1110100020102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974310 (or 974307 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110100020102 its reverse (2010200010111), we get a palindrome (3120300030213).

Subtracting 1110100020102 from its reverse (2010200010111), we obtain a palindrome (900099990009).

The spelling of 1110100020102 in words is "one trillion, one hundred ten billion, one hundred million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 37 58 59 74 87 111 118 174 177 222 261 333 354 522 531 666 1062 1073 1711 2146 2183 3219 3422 4366 5133 6438 6549 9657 10266 13098 15399 19314 19647 30798 39294 63307 126614 189921 379842 569763 974177 1139526 1948354 2922531 5845062 8767593 17535186 28251133 36044549 56502266 57476443 72089098 84753399 108133647 114952886 169506798 172429329 216267294 254260197 324400941 344858658 508520394 517287987 648801882 1034575974 1045291921 1666816847 2090583842 2126628391 3135875763 3333633694 4253256782 5000450541 6271751526 6379885173 9407627289 10000901082 12759770346 15001351623 18815254578 19139655519 30002703246 38279311038 61672223339 123344446678 185016670017 370033340034 555050010051 1110100020102