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1122101001012 = 2231723239151961
BaseRepresentation
bin10000010101000010011…
…011100111101100110100
310222021100010222221112210
4100111002123213230310
5121341030324013022
62215252554413420
7144032465064555
oct20250233475464
93867303887483
101122101001012
113a2975842192
12161579431270
1381a76831574
143c44a81a32c
151e2c5dd0a0c
hex105426e7b34

1122101001012 has 48 divisors (see below), whose sum is σ = 2892782132352. Its totient is φ = 336725959680.

The previous prime is 1122101000983. The next prime is 1122101001013. The reversal of 1122101001012 is 2101001012211.

It is a super-2 number, since 2×11221010010122 (a number of 25 digits) contains 22 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 (1122101001013) 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, 119571289 + ... + 119580672.

It is an arithmetic number, because the mean of its divisors is an integer number (60266294424).

Almost surely, 21122101001012 is an apocalyptic number.

1122101001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122101001012 is an abundant number, since it is smaller than the sum of its proper divisors (1770681131340).

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

1122101001012 is a wasteful number, since it uses less digits than its factorization.

1122101001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239152008 (or 239152006 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1122101001012 its reverse (2101001012211), we get a palindrome (3223102013223).

The spelling of 1122101001012 in words is "one trillion, one hundred twenty-two billion, one hundred one million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 239151961 478303922 717455883 956607844 1434911766 2869823532 4065583337 5500495103 8131166674 11000990206 12196750011 16262333348 16501485309 22001980412 24393500022 33002970618 48787000044 66005941236 93508416751 187016833502 280525250253 374033667004 561050500506 1122101001012