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1092000011880 = 233567135820897
BaseRepresentation
bin11111110010000000100…
…01011101011001101000
310212101122100200021010110
433321000101131121220
5120342404000340010
62153354034014320
7141615530644011
oct17710021353150
93771570607113
101092000011880
113911295a1568
121577787173a0
137bc8a56a6ab
143abd2c04008
151d6134a9120
hexfe4045d668

1092000011880 has 64 divisors (see below), whose sum is σ = 3324895583040. Its totient is φ = 286853732352.

The previous prime is 1092000011849. The next prime is 1092000011887. The reversal of 1092000011880 is 881100002901.

It is a super-2 number, since 2×10920000118802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

1092000011880 is a modest number, since divided by 11880 gives 10920 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1092000011887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67902409 + ... + 67918488.

It is an arithmetic number, because the mean of its divisors is an integer number (51951493485).

Almost surely, 21092000011880 is an apocalyptic number.

1092000011880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1092000011880 is an abundant number, since it is smaller than the sum of its proper divisors (2232895571160).

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

1092000011880 is a wasteful number, since it uses less digits than its factorization.

1092000011880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135820978 (or 135820974 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 1092000011880 in words is "one trillion, ninety-two billion, eleven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 135820897 271641794 407462691 543283588 679104485 814925382 1086567176 1358208970 1629850764 2037313455 2716417940 3259701528 4074626910 5432835880 8149253820 9100000099 16298507640 18200000198 27300000297 36400000396 45500000495 54600000594 72800000792 91000000990 109200001188 136500001485 182000001980 218400002376 273000002970 364000003960 546000005940 1092000011880