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100022220001 = 11291417322123
BaseRepresentation
bin101110100100111001…
…0011111010011100001
3100120011201110020100201
41131021302133103201
53114321142020001
6113541035145201
710140433561564
oct1351162372341
9316151406321
10100022220001
1139467a32340
12174752a5201
1395802bc482
144babda64db
152906178501
hex1749c9f4e1

100022220001 has 16 divisors (see below), whose sum is σ = 112890807360. Its totient is φ = 87783635520.

The previous prime is 100022219971. The next prime is 100022220043.

100022220001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100022220001 - 27 = 100022219873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100022220001.

It is not an unprimeable number, because it can be changed into a prime (100022220091) 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, 4510126 + ... + 4532248.

It is an arithmetic number, because the mean of its divisors is an integer number (7055675460).

Almost surely, 2100022220001 is an apocalyptic number.

100022220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100022220001 is a deficient number, since it is larger than the sum of its proper divisors (12868587359).

100022220001 is a wasteful number, since it uses less digits than its factorization.

100022220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36336.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 100022 and 220001, that multiplied together give a palindrome (22004940022).

The spelling of 100022220001 in words is "one hundred billion, twenty-two million, two hundred twenty thousand, one".

Divisors: 1 11 29 319 14173 22123 155903 243353 411017 641567 4521187 7057237 313549279 3449042069 9092929091 100022220001