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1011020022012 = 2237112137651591
BaseRepresentation
bin11101011011001010111…
…11010100000011111100
310120122121201112112202110
432231211133110003330
5113031032111201022
62052242311454020
7133021006252050
oct16554537240374
93518551475673
101011020022012
1135a853499600
12143b38687310
13744533b3620
1436d0dc49c60
151b473e5d00c
hexeb657d40fc

1011020022012 has 144 divisors (see below), whose sum is σ = 3191387204096. Its totient is φ = 242402371200.

The previous prime is 1011020022011. The next prime is 1011020022073. The reversal of 1011020022012 is 2102200201101.

It is a super-2 number, since 2×10110200220122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011020022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3693664 + ... + 3957927.

Almost surely, 21011020022012 is an apocalyptic number.

1011020022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011020022012 is an abundant number, since it is smaller than the sum of its proper divisors (2180367182084).

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

1011020022012 is a wasteful number, since it uses less digits than its factorization.

1011020022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651640 (or 7651627 counting only the distinct ones).

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

Adding to 1011020022012 its reverse (2102200201101), we get a palindrome (3113220223113).

The spelling of 1011020022012 in words is "one trillion, eleven billion, twenty million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 121 132 143 154 156 182 231 242 273 286 308 363 364 429 462 484 546 572 726 847 858 924 1001 1092 1452 1573 1694 1716 2002 2541 3003 3146 3388 4004 4719 5082 6006 6292 9438 10164 11011 12012 18876 22022 33033 44044 66066 132132 7651591 15303182 22954773 30606364 45909546 53561137 84167501 91819092 99470683 107122274 160683411 168335002 198941366 214244548 252502503 298412049 321366822 336670004 397882732 505005006 589172507 596824098 642733644 696294781 925842511 1010010012 1094177513 1178345014 1193648196 1392589562 1767517521 1851685022 2088884343 2188355026 2356690028 2777527533 2785179124 3282532539 3535035042 3703370044 4177768686 4376710052 5555055066 6480897577 6565065078 7070070084 7659242591 8355537372 11110110132 12035952643 12961795154 13130130156 15318485182 19442692731 22977727773 24071905286 25923590308 30636970364 36107857929 38885385462 45955455546 48143810572 72215715858 77770770924 84251668501 91910911092 144431431716 168503337002 252755005503 337006674004 505510011006 1011020022012