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1112100220100 = 225233133356777
BaseRepresentation
bin10000001011101110010…
…101101010110011000100
310221022112011202122012202
4100023232111222303010
5121210040124020400
62210520343134032
7143226610621112
oct20135625526304
93838464678182
101112100220100
113997036444a1
1215b648144318
1380b4192c81c
143bb7c532ab2
151dddce1b4d5
hex102ee56acc4

1112100220100 has 36 divisors (see below), whose sum is σ = 2413986617364. Its totient is φ = 444705684480.

The previous prime is 1112100220081. The next prime is 1112100220129. The reversal of 1112100220100 is 10220012111.

It can be written as a sum of positive squares in 6 ways, for example, as 49683518404 + 1062416701696 = 222898^2 + 1030736^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1347089 + ... + 2009688.

Almost surely, 21112100220100 is an apocalyptic number.

1112100220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112100220100 is an abundant number, since it is smaller than the sum of its proper divisors (1301886397264).

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

1112100220100 is a wasteful number, since it uses less digits than its factorization.

1112100220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360104 (or 3360097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1112100220100 its reverse (10220012111), we get a palindrome (1122320232211).

The spelling of 1112100220100 in words is "one trillion, one hundred twelve billion, one hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3313 6626 13252 16565 33130 66260 82825 165650 331300 3356777 6713554 13427108 16783885 33567770 67135540 83919425 167838850 335677700 11121002201 22242004402 44484008804 55605011005 111210022010 222420044020 278025055025 556050110050 1112100220100