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1100100012210 = 232598331243093
BaseRepresentation
bin10000000000100011000…
…100100000100010110010
310220011112212020220200200
4100000203010200202302
5121011001100342320
62201213505100030
7142323334550223
oct20004304404262
93804485226620
101100100012210
11394605860711
12159259327616
137c97b7244b4
143b36089d24a
151d939659290
hex100231208b2

1100100012210 has 48 divisors (see below), whose sum is σ = 2860553216664. Its totient is φ = 293329933056.

The previous prime is 1100100012197. The next prime is 1100100012211. The reversal of 1100100012210 is 122100010011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 905319899289 + 194780112921 = 951483^2 + 441339^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1100100012192 and 1100100012201.

It is not an unprimeable number, because it can be changed into a prime (1100100012211) by changing a digit.

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, 263424 + ... + 1506516.

Almost surely, 21100100012210 is an apocalyptic number.

1100100012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100100012210 is an abundant number, since it is smaller than the sum of its proper divisors (1760453204454).

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

1100100012210 is a wasteful number, since it uses less digits than its factorization.

1100100012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252939 (or 1252936 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100100012210 its reverse (122100010011), we get a palindrome (1222200022221).

The spelling of 1100100012210 in words is "one trillion, one hundred billion, one hundred million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 9833 19666 29499 49165 58998 88497 98330 147495 176994 294990 442485 884970 1243093 2486186 3729279 6215465 7458558 11187837 12430930 18646395 22375674 37292790 55939185 111878370 12223333469 24446666938 36670000407 61116667345 73340000814 110010001221 122233334690 183350002035 220020002442 366700004070 550050006105 1100100012210