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11012133020112 = 2432771153869509
BaseRepresentation
bin1010000000111111011001…
…0001101110000111010000
31102222202020111001221221200
42200033312101232013100
52420410322023120422
635230523140151200
72214412631146650
oct240176621560720
942882214057850
1011012133020112
113566246005564
12129a285098500
1361b593cc0bb3
142a0dc0adc360
151416b69532ac
hexa03f646e1d0

11012133020112 has 120 divisors (see below), whose sum is σ = 35717421617280. Its totient is φ = 3102009281280.

The previous prime is 11012133020093. The next prime is 11012133020123. The reversal of 11012133020112 is 21102033121011.

11012133020112 is a `hidden beast` number, since 1 + 1 + 0 + 121 + 330 + 201 + 12 = 666.

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

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, 76863187 + ... + 77006322.

It is an arithmetic number, because the mean of its divisors is an integer number (297645180144).

Almost surely, 211012133020112 is an apocalyptic number.

11012133020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11012133020112 is an abundant number, since it is smaller than the sum of its proper divisors (24705288597168).

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

11012133020112 is a wasteful number, since it uses less digits than its factorization.

11012133020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153869601 (or 153869592 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11012133020112 its reverse (21102033121011), we get a palindrome (32114166141123).

The spelling of 11012133020112 in words is "eleven trillion, twelve billion, one hundred thirty-three million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3408 3976 4473 5112 5964 7952 8946 10224 11928 17892 23856 35784 71568 153869509 307739018 461608527 615478036 923217054 1077086563 1230956072 1384825581 1846434108 2154173126 2461912144 2769651162 3231259689 3692868216 4308346252 5539302324 6462519378 7385736432 8616692504 9693779067 10924735139 11078604648 12925038756 17233385008 19387558134 21849470278 22157209296 25850077512 32774205417 38775116268 43698940556 51700155024 65548410834 76473145973 77550232536 87397881112 98322616251 131096821668 152946291946 155100465072 174795762224 196645232502 229419437919 262193643336 305892583892 393290465004 458838875838 524387286672 611785167784 688258313757 786580930008 917677751676 1223570335568 1376516627514 1573161860016 1835355503352 2753033255028 3670711006704 5506066510056 11012133020112