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1110000101112 = 23347234958431
BaseRepresentation
bin10000001001110001001…
…010010110011011111000
310221010002211000112120000
4100021301022112123320
5121141240011213422
62205532122233000
7143123560120200
oct20116112263370
93833084015500
101110000101112
11398826134a71
1215b160955760
13808987cc776
143ba1d655400
151dd1887dcac
hex102712966f8

1110000101112 has 120 divisors (see below), whose sum is σ = 3616624582560. Its totient is φ = 317142876960.

The previous prime is 1110000101087. The next prime is 1110000101113. The reversal of 1110000101112 is 2111010000111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1110000101094 and 1110000101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110000101113) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17447464 + ... + 17510967.

It is an arithmetic number, because the mean of its divisors is an integer number (30138538188).

Almost surely, 21110000101112 is an apocalyptic number.

1110000101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1110000101112 is an abundant number, since it is smaller than the sum of its proper divisors (2506624481448).

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

1110000101112 is a wasteful number, since it uses less digits than its factorization.

1110000101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34958463 (or 34958443 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110000101112 its reverse (2111010000111), we get a palindrome (3221010101223).

The spelling of 1110000101112 in words is "one trillion, one hundred ten billion, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 34958431 69916862 104875293 139833724 209750586 244709017 279667448 314625879 419501172 489418034 629251758 734127051 839002344 943877637 978836068 1258503516 1468254102 1712963119 1887755274 1957672136 2202381153 2517007032 2831632911 2936508204 3425926238 3775510548 4404762306 5138889357 5663265822 5873016408 6607143459 6851852476 7551021096 8809524612 10277778714 11326531644 13214286918 13703704952 15416668071 17619049224 19821430377 20555557428 22653063288 26428573836 30833336142 39642860754 41111114856 46250004213 52857147672 61666672284 79285721508 92500008426 123333344568 138750012639 158571443016 185000016852 277500025278 370000033704 555000050556 1110000101112