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1001010101112 = 233278323929291
BaseRepresentation
bin11101001000100001101…
…10011111101101111000
310112200210010002212201100
432210100312133231320
5112400032041213422
62043505132251400
7132214651320150
oct16442066375570
93480703085640
101001010101112
113565871188aa
12142004310b60
13735196315c8
1436640663760
151b08a2907ac
hexe910d9fb78

1001010101112 has 96 divisors (see below), whose sum is σ = 3135694423680. Its totient is φ = 282557056320.

The previous prime is 1001010101089. The next prime is 1001010101167. The reversal of 1001010101112 is 2111010101001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001010101094 and 1001010101103.

It is a congruent number.

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, 11922814 + ... + 12006477.

It is an arithmetic number, because the mean of its divisors is an integer number (32663483580).

Almost surely, 21001010101112 is an apocalyptic number.

1001010101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001010101112 is an abundant number, since it is smaller than the sum of its proper divisors (2134684322568).

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

1001010101112 is a wasteful number, since it uses less digits than its factorization.

1001010101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23929393 (or 23929386 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001010101112 its reverse (2111010101001), we get a palindrome (3112020202113).

The spelling of 1001010101112 in words is "one trillion, one billion, ten million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 41832 23929291 47858582 71787873 95717164 143575746 167505037 191434328 215363619 287151492 335010074 430727238 502515111 574302984 670020148 861454476 1005030222 1340040296 1507545333 1722908952 1986131153 2010060444 3015090666 3972262306 4020120888 5958393459 6030181332 7944524612 11916786918 12060362664 13902918071 15889049224 17875180377 23833573836 27805836142 35750360754 41708754213 47667147672 55611672284 71500721508 83417508426 111223344568 125126262639 143001443016 166835016852 250252525278 333670033704 500505050556 1001010101112