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1000110011012 = 2272123113733019
BaseRepresentation
bin11101000110110110011…
…00111011001010000100
310112121110101102120012222
432203123030323022010
5112341211130323022
62043235540231512
7132153441554600
oct16433314731204
93477411376188
101000110011012
11356165034892
121419b299b598
1373405005c08
1436596cc2500
151b036247242
hexe8db33b284

1000110011012 has 72 divisors (see below), whose sum is σ = 2039751584640. Its totient is φ = 427816710720.

The previous prime is 1000110010997. The next prime is 1000110011051. The reversal of 1000110011012 is 2101100110001.

It is a happy number.

1000110011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10001100110122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331270439 + ... + 331273457.

It is an arithmetic number, because the mean of its divisors is an integer number (28329883120).

Almost surely, 21000110011012 is an apocalyptic number.

It is an amenable number.

1000110011012 is an abundant number, since it is smaller than the sum of its proper divisors (1039641573628).

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

1000110011012 is a wasteful number, since it uses less digits than its factorization.

1000110011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000110011012 its reverse (2101100110001), we get a palindrome (3101210121013).

The spelling of 1000110011012 in words is "one trillion, one hundred ten million, eleven thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 1231 1373 2462 2746 3019 4924 5492 6038 8617 9611 12076 17234 19222 21133 34468 38444 42266 60319 67277 84532 120638 134554 147931 241276 269108 295862 591724 1690163 3380326 3716389 4145087 6760652 7432778 8290174 11831141 14865556 16580348 23662282 26014723 29015609 47324564 52029446 58031218 82817987 104058892 116062436 165635974 182103061 203109263 331271948 364206122 406218526 728412244 812437052 5102602097 10205204194 20410408388 35718214679 71436429358 142872858716 250027502753 500055005506 1000110011012