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111002022012 = 223727317914447
BaseRepresentation
bin110011101100000111…
…1000111000001111100
3101121111220212222011110
41213120033013001330
53304313004201022
6122554342322020
711006506422300
oct1473017070174
9347456788143
10111002022012
1143091825082
121961a429310
13a60cc9453b
1455302d9d00
152d4a07800c
hex19d83c707c

111002022012 has 144 divisors (see below), whose sum is σ = 307145986560. Its totient is φ = 31103509248.

The previous prime is 111002022007. The next prime is 111002022041. The reversal of 111002022012 is 210220200111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7676173 + ... + 7690619.

It is an arithmetic number, because the mean of its divisors is an integer number (2132958240).

Almost surely, 2111002022012 is an apocalyptic number.

111002022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111002022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153572993280).

111002022012 is an abundant number, since it is smaller than the sum of its proper divisors (196143964548).

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

111002022012 is a wasteful number, since it uses less digits than its factorization.

111002022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14720 (or 14711 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111002022012 its reverse (210220200111), we get a palindrome (321222222123).

The spelling of 111002022012 in words is "one hundred eleven billion, two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 179 196 219 292 294 358 438 511 537 588 716 876 1022 1074 1253 1533 2044 2148 2506 3066 3577 3759 5012 6132 7154 7518 8771 10731 13067 14308 14447 15036 17542 21462 26134 26313 28894 35084 39201 42924 43341 52268 52626 57788 78402 86682 91469 101129 105252 156804 173364 182938 202258 274407 303387 365876 404516 548814 606774 640283 707903 1054631 1097628 1213548 1280566 1415806 1920849 2109262 2123709 2561132 2586013 2831612 3163893 3841698 4218524 4247418 5172026 6327786 7382417 7683396 7758039 8494836 10344052 12655572 14764834 15516078 18102091 22147251 29529668 31032156 36204182 44294502 51676919 54306273 72408364 88589004 103353838 108612546 126714637 155030757 188778949 206707676 217225092 253429274 310061514 377557898 380143911 506858548 566336847 620123028 755115796 760287822 1132673694 1321452643 1520575644 2265347388 2642905286 3964357929 5285810572 7928715858 9250168501 15857431716 18500337002 27750505503 37000674004 55501011006 111002022012