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1320101112 = 2331129172427
BaseRepresentation
bin100111010101111…
…0010010011111000
310102000000002021210
41032223302103320
510200421213422
6334554203120
744466450201
oct11653622370
93360002253
101320101112
11618187560
1230a1234a0
13180655425
14c74745a8
157ad6110c
hex4eaf24f8

1320101112 has 64 divisors (see below), whose sum is σ = 3724444800. Its totient is φ = 386234240.

The previous prime is 1320101093. The next prime is 1320101113. The reversal of 1320101112 is 2111010231.

It is a super-3 number, since 3×13201011123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320101113) 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 15 ways as a sum of consecutive naturals, for example, 78558 + ... + 93869.

It is an arithmetic number, because the mean of its divisors is an integer number (58194450).

Almost surely, 21320101112 is an apocalyptic number.

1320101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1320101112 is an abundant number, since it is smaller than the sum of its proper divisors (2404343688).

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

1320101112 is a wasteful number, since it uses less digits than its factorization.

1320101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172476 (or 172472 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1320101112 is about 36333.1957306263. The cubic root of 1320101112 is about 1096.9893188502.

Adding to 1320101112 its reverse (2111010231), we get a palindrome (3431111343).

The spelling of 1320101112 in words is "one billion, three hundred twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 172427 344854 517281 689708 1034562 1379416 1896697 2069124 3793394 4138248 5000383 5690091 7586788 10000766 11380182 15001149 15173576 20001532 22760364 30002298 40003064 45520728 55004213 60004596 110008426 120009192 165012639 220016852 330025278 440033704 660050556 1320101112