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1100020111012 = 227313782133493
BaseRepresentation
bin10000000000011110010…
…011101101011010100100
310220011100021220111212001
4100000132103231122210
5121010320122023022
62201201532335044
7142321344445144
oct20003623553244
93804307814761
101100020111012
11394574747769
12159236614484
137c967cca094
143b354020924
151d932624b27
hex1001e4ed6a4

1100020111012 has 48 divisors (see below), whose sum is σ = 1968102348912. Its totient is φ = 537844008960.

The previous prime is 1100020111007. The next prime is 1100020111031. The reversal of 1100020111012 is 2101110200011.

It can be written as a sum of positive squares in 8 ways, for example, as 123611309056 + 976408801956 = 351584^2 + 988134^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1100020111012.

It is an unprimeable number.

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, 32826538 + ... + 32860030.

It is an arithmetic number, because the mean of its divisors is an integer number (41002132269).

Almost surely, 21100020111012 is an apocalyptic number.

It is an amenable number.

1100020111012 is a deficient number, since it is larger than the sum of its proper divisors (868082237900).

1100020111012 is a wasteful number, since it uses less digits than its factorization.

1100020111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34528 (or 34526 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100020111012 its reverse (2101110200011), we get a palindrome (3201130311023).

The spelling of 1100020111012 in words is "one trillion, one hundred billion, twenty million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 73 137 146 274 292 548 821 1642 3284 10001 20002 33493 40004 59933 66986 112477 119866 133972 224954 239732 449908 2444989 4588541 4889978 8210821 9177082 9779956 16421642 18354164 27497753 32843284 54995506 109991012 334963493 669926986 1339853972 2007335969 3767192161 4014671938 7534384322 8029343876 15068768644 275005027753 550010055506 1100020111012