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1110022011126 = 23479191065131
BaseRepresentation
bin10000001001110010011…
…101111011100011110110
310221010011100020200110000
4100021302131323203312
5121141311113324001
62205534224012130
7143124244262610
oct20116235734366
93833140220400
101110022011126
1139883753a316
1215b168161046
13808a0201382
143ba22519db0
151dd1a75aa86
hex1027277b8f6

1110022011126 has 80 divisors (see below), whose sum is σ = 2845691861760. Its totient is φ = 316803746160.

The previous prime is 1110022011121. The next prime is 1110022011127. The reversal of 1110022011126 is 6211102200111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1110022011099 and 1110022011108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110022011121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 509581 + ... + 1574711.

It is an arithmetic number, because the mean of its divisors is an integer number (35571148272).

Almost surely, 21110022011126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110022011126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422845930880).

1110022011126 is an abundant number, since it is smaller than the sum of its proper divisors (1735669850634).

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

1110022011126 is a wasteful number, since it uses less digits than its factorization.

1110022011126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066071 (or 1066062 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1110022011126 its reverse (6211102200111), we get a palindrome (7321124211237).

The spelling of 1110022011126 in words is "one trillion, one hundred ten billion, twenty-two million, eleven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 919 1134 1838 2757 5514 6433 8271 12866 16542 19299 24813 38598 49626 57897 74439 115794 148878 173691 347382 521073 1042146 1065131 2130262 3195393 6390786 7455917 9586179 14911834 19172358 22367751 28758537 44735502 57517074 67103253 86275611 134206506 172551222 201309759 402619518 603929277 978855389 1207858554 1957710778 2936566167 5873132334 6851987723 8809698501 13703975446 17619397002 20555963169 26429095503 41111926338 52858191006 61667889507 79287286509 123335779014 158574573018 185003668521 370007337042 555011005563 1110022011126