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1100100220002 = 2327212163102547
BaseRepresentation
bin10000000000100011000…
…101010011010001100010
310220011112212122110201200
4100000203011103101202
5121011001124020002
62201213513342030
7142323336404100
oct20004305232142
93804485573650
101100100220002
11394605992843
12159259407916
137c97b797c54
143b360914c70
151d93969ab1c
hex10023153462

1100100220002 has 72 divisors (see below), whose sum is σ = 2772956577456. Its totient is φ = 314285441904.

The previous prime is 1100100219983. The next prime is 1100100220007. The reversal of 1100100220002 is 2000220010011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1100100220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10676493 + ... + 10779039.

It is an arithmetic number, because the mean of its divisors is an integer number (38513285798).

Almost surely, 21100100220002 is an apocalyptic number.

1100100220002 is an abundant number, since it is smaller than the sum of its proper divisors (1672856357454).

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

1100100220002 is a wasteful number, since it uses less digits than its factorization.

1100100220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114732 (or 114722 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100100220002 its reverse (2000220010011), we get a palindrome (3100320230013).

The spelling of 1100100220002 in words is "one trillion, one hundred billion, one hundred million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 12163 24326 36489 72978 85141 102547 109467 170282 205094 218934 255423 307641 510846 595987 615282 717829 766269 922923 1191974 1435658 1532538 1787961 1845846 2153487 3575922 4306974 5024803 5363883 6460461 10049606 10727766 12920922 15074409 30148818 45223227 90446454 1247279161 2494558322 3741837483 7483674966 8730954127 11225512449 17461908254 22451024898 26192862381 52385724762 61116678889 78578587143 122233357778 157157174286 183350036667 366700073334 550050110001 1100100220002