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1100210031 = 324115971867
BaseRepresentation
bin100000110010011…
…1101111101101111
32211200020110102200
41001210331331233
54223123210111
6301101152543
736156426264
oct10144757557
92750213380
101100210031
11515049098
1226855b753
13146c2546b
14a619526b
15668c8256
hex4193df6f

1100210031 has 24 divisors (see below), whose sum is σ = 1629844944. Its totient is φ = 714752640.

The previous prime is 1100210021. The next prime is 1100210039. The reversal of 1100210031 is 1300120011.

It is not a de Polignac number, because 1100210031 - 210 = 1100209007 is a prime.

It is a super-2 number, since 2×11002100312 = 2420924224626041922, which contains 22 as substring.

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 = 1100209995 and 1100210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100210039) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 588360 + ... + 590226.

It is an arithmetic number, because the mean of its divisors is an integer number (67910206).

Almost surely, 21100210031 is an apocalyptic number.

1100210031 is a deficient number, since it is larger than the sum of its proper divisors (529634913).

1100210031 is a wasteful number, since it uses less digits than its factorization.

1100210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100210031 is about 33169.4140888862. The cubic root of 1100210031 is about 1032.3458115252.

Adding to 1100210031 its reverse (1300120011), we get a palindrome (2400330042).

The spelling of 1100210031 in words is "one billion, one hundred million, two hundred ten thousand, thirty-one".

Divisors: 1 3 9 41 123 369 1597 1867 4791 5601 14373 16803 65477 76547 196431 229641 589293 688923 2981599 8944797 26834391 122245559 366736677 1100210031