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11013131032032 = 253467245653351
BaseRepresentation
bin1010000001000011000111…
…0000110101010111100000
31102222211211001000012221010
42200100301300311113200
52420414343021011112
635231210151100520
72214446440130463
oct240206160652740
942884731005833
1011013131032032
1135667083a06a8
12129a503371740
1361b6c29b31ac
142a107748d2da
1514172439063c
hexa0431c355e0

11013131032032 has 48 divisors (see below), whose sum is σ = 28971373721472. Its totient is φ = 3663182755200.

The previous prime is 11013131032027. The next prime is 11013131032037. The reversal of 11013131032032 is 23023013131011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11013131032027) and next prime (11013131032037).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013131032037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122781844 + ... + 122871507.

It is an arithmetic number, because the mean of its divisors is an integer number (603570285864).

Almost surely, 211013131032032 is an apocalyptic number.

11013131032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11013131032032 is an abundant number, since it is smaller than the sum of its proper divisors (17958242689440).

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

11013131032032 is a wasteful number, since it uses less digits than its factorization.

11013131032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245653831 (or 245653823 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11013131032032 its reverse (23023013131011), we get a palindrome (34036144163043).

The spelling of 11013131032032 in words is "eleven trillion, thirteen billion, one hundred thirty-one million, thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 467 934 1401 1868 2802 3736 5604 7472 11208 14944 22416 44832 245653351 491306702 736960053 982613404 1473920106 1965226808 2947840212 3930453616 5895680424 7860907232 11791360848 23582721696 114720114917 229440229834 344160344751 458880459668 688320689502 917760919336 1376641379004 1835521838672 2753282758008 3671043677344 5506565516016 11013131032032