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1110023004112 = 24112313916711813
BaseRepresentation
bin10000001001110010100…
…001101101111111010000
310221010011102010010120021
4100021302201231333100
5121141311342112422
62205534301153224
7143124255566611
oct20116241557720
93833142103507
101110023004112
11398838058370
1215b16855b814
13808a048b339
143ba226d7c08
151dd1a8a4dc7
hex1027286dfd0

1110023004112 has 160 divisors (see below), whose sum is σ = 2480781219840. Its totient is φ = 476237160960.

The previous prime is 1110023004109. The next prime is 1110023004119. The reversal of 1110023004112 is 2114003200111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110023004119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93960318 + ... + 93972130.

It is an arithmetic number, because the mean of its divisors is an integer number (15504882624).

Almost surely, 21110023004112 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 1110023004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240390609920).

1110023004112 is an abundant number, since it is smaller than the sum of its proper divisors (1370758215728).

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

1110023004112 is a wasteful number, since it uses less digits than its factorization.

1110023004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12161 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1110023004112 its reverse (2114003200111), we get a palindrome (3224026204223).

The spelling of 1110023004112 in words is "one trillion, one hundred ten billion, twenty-three million, four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 139 167 176 184 253 278 334 368 506 556 668 1012 1112 1336 1529 1837 2024 2224 2672 3058 3197 3674 3841 4048 6116 6394 7348 7682 11813 12232 12788 14696 15364 23213 23626 24464 25576 29392 30728 35167 42251 46426 47252 51152 61456 70334 84502 92852 94504 129943 140668 169004 185704 189008 255343 259886 271699 281336 338008 371408 510686 519772 533899 543398 562672 676016 1021372 1039544 1067798 1086796 1642007 1972771 2042744 2079088 2135596 2173592 2988689 3284014 3945542 4085488 4271192 4347184 5872889 5977378 6568028 7891084 8542384 11745778 11954756 13136056 15782168 18062077 21700481 23491556 23909512 26272112 31564336 36124154 37766161 43400962 45373733 46983112 47819024 72248308 75532322 86801924 90747466 93966224 144496616 151064644 173603848 181494932 274215169 288993232 302129288 347207696 362989864 415427771 499111063 548430338 604258576 725979728 830855542 998222126 1096860676 1661711084 1996444252 2193721352 3016366859 3323422168 3992888504 4387442704 6032733718 6306948887 6646844336 7985777008 12065467436 12613897774 24130934872 25227795548 48261869744 50455591096 69376437757 100911182192 138752875514 277505751028 555011502056 1110023004112