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11102133235152 = 2435327715754679
BaseRepresentation
bin1010000110001110101010…
…1101010010110111010000
31110022100112202100121001110
42201203222231102313100
52423344132102011102
635340125525133320
72224050132310311
oct241435255226720
943270482317043
1011102133235152
1135a042a863173
1212b3801b5a240
13626c07b89ccb
142a54bba54608
15143bd2d2386c
hexa18eab52dd0

11102133235152 has 80 divisors (see below), whose sum is σ = 29327147763840. Its totient is φ = 3617778218496.

The previous prime is 11102133235057. The next prime is 11102133235157. The reversal of 11102133235152 is 25153233120111.

It is a happy number.

It is a super-2 number, since 2×111021332351522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102133235157) 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, 7172652 + ... + 8582027.

It is an arithmetic number, because the mean of its divisors is an integer number (366589347048).

Almost surely, 211102133235152 is an apocalyptic number.

11102133235152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11102133235152 is an abundant number, since it is smaller than the sum of its proper divisors (18225014528688).

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

11102133235152 is a wasteful number, since it uses less digits than its factorization.

11102133235152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755020 (or 15755014 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 11102133235152 its reverse (25153233120111), we get a palindrome (36255366355263).

The spelling of 11102133235152 in words is "eleven trillion, one hundred two billion, one hundred thirty-three million, two hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 277 318 424 554 636 831 848 1108 1272 1662 2216 2544 3324 4432 6648 13296 14681 29362 44043 58724 88086 117448 176172 234896 352344 704688 15754679 31509358 47264037 63018716 94528074 126037432 189056148 252074864 378112296 756224592 834997987 1669995974 2504993961 3339991948 4364046083 5009987922 6679983896 8728092166 10019975844 13092138249 13359967792 17456184332 20039951688 26184276498 34912368664 40079903376 52368552996 69824737328 104737105992 209474211984 231294442399 462588884798 693883327197 925177769596 1387766654394 1850355539192 2775533308788 3700711078384 5551066617576 11102133235152