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1122121220100 = 2235214925103383
BaseRepresentation
bin10000010101000011101…
…000110000000000000100
310222021101120001011220220
4100111003220300000010
5121341101013020400
62215255000024340
7144033131665416
oct20250350600004
93867346034826
101122121220100
113a29861a2081
121615841620b0
1381a7aa9061a
143c44d3a09b6
151e2c7a767a0
hex10543a30004

1122121220100 has 72 divisors (see below), whose sum is σ = 3268460596800. Its totient is φ = 297224042880.

The previous prime is 1122121220093. The next prime is 1122121220111. The reversal of 1122121220100 is 10221212211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122121220100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12506992 + ... + 12596391.

Almost surely, 21122121220100 is an apocalyptic number.

1122121220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122121220100 is an abundant number, since it is smaller than the sum of its proper divisors (2146339376700).

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

1122121220100 is a wasteful number, since it uses less digits than its factorization.

1122121220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25103549 (or 25103542 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122121220100 its reverse (10221212211), we get a palindrome (1132342432311).

The spelling of 1122121220100 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 894 1490 1788 2235 2980 3725 4470 7450 8940 11175 14900 22350 44700 25103383 50206766 75310149 100413532 125516915 150620298 251033830 301240596 376550745 502067660 627584575 753101490 1255169150 1506202980 1882753725 2510338300 3740404067 3765507450 7480808134 7531014900 11221212201 14961616268 18702020335 22442424402 37404040670 44884848804 56106061005 74808081340 93510101675 112212122010 187020203350 224424244020 280530305025 374040406700 561060610050 1122121220100