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1001110099992 = 233411317766323
BaseRepresentation
bin11101001000101101100…
…11111101100000011000
310112201001002021100101120
432210112303331200120
5112400233141144432
62043523103445240
7132220304306112
oct16442663754030
93481032240346
101001110099992
11356628609502
121420318b6820
1373534274742
143664da543b2
151b093e44c2c
hexe916cfd818

1001110099992 has 64 divisors (see below), whose sum is σ = 2583390015360. Its totient is φ = 323078995200.

The previous prime is 1001110099991. The next prime is 1001110100009. The reversal of 1001110099992 is 2999900111001.

1001110099992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110099991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3754258 + ... + 4012065.

It is an arithmetic number, because the mean of its divisors is an integer number (40365468990).

Almost surely, 21001110099992 is an apocalyptic number.

1001110099992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001110099992 is an abundant number, since it is smaller than the sum of its proper divisors (1582279915368).

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

1001110099992 is a wasteful number, since it uses less digits than its factorization.

1001110099992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7766504 (or 7766500 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 42.

It can be divided in two parts, 100111009 and 9992, that added together give a palindrome (100121001).

The spelling of 1001110099992 in words is "one trillion, one billion, one hundred ten million, ninety-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 131 164 246 262 328 393 492 524 786 984 1048 1572 3144 5371 10742 16113 21484 32226 42968 64452 128904 7766323 15532646 23298969 31065292 46597938 62130584 93195876 186391752 318419243 636838486 955257729 1017388313 1273676972 1910515458 2034776626 2547353944 3052164939 3821030916 4069553252 6104329878 7642061832 8139106504 12208659756 24417319512 41712920833 83425841666 125138762499 166851683332 250277524998 333703366664 500555049996 1001110099992