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100211222001 = 31110512889347
BaseRepresentation
bin101110101010100001…
…1011110010111110001
3100120122220002112100210
41131111003132113301
53120213033101001
6114011510134333
710145220222042
oct1352503362761
9316586075323
10100211222001
1139554693340
12175086513a9
1395b04c5887
144bc91248c9
152917a5ddd6
hex17550de5f1

100211222001 has 16 divisors (see below), whose sum is σ = 145900516608. Its totient is φ = 60676266000.

The previous prime is 100211221993. The next prime is 100211222011. The reversal of 100211222001 is 100222112001.

It is not a de Polignac number, because 100211222001 - 23 = 100211221993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211222011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409991 + ... + 1479356.

It is an arithmetic number, because the mean of its divisors is an integer number (9118782288).

Almost surely, 2100211222001 is an apocalyptic number.

100211222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211222001 is a deficient number, since it is larger than the sum of its proper divisors (45689294607).

100211222001 is a wasteful number, since it uses less digits than its factorization.

100211222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890412.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100211222001 its reverse (100222112001), we get a palindrome (200433334002).

Subtracting 100211222001 from its reverse (100222112001), we obtain a square (10890000 = 33002).

The spelling of 100211222001 in words is "one hundred billion, two hundred eleven million, two hundred twenty-two thousand, one".

Divisors: 1 3 11 33 1051 3153 11561 34683 2889347 8668041 31782817 95348451 3036703697 9110111091 33403740667 100211222001