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100001222001 = 3331971231709
BaseRepresentation
bin101110100100010001…
…0011000110101110001
3100120010020221102112000
41131020202120311301
53114300303101001
6113535005124213
710140060235122
oct1351042306561
9316106842460
10100001222001
11394570a021a
121746a259669
139578b49a15
144ba929c049
1529043cba86
hex1748898d71

100001222001 has 32 divisors (see below), whose sum is σ = 154505702400. Its totient is φ = 63851742720.

The previous prime is 100001221997. The next prime is 100001222021. The reversal of 100001222001 is 100222100001.

It is not a de Polignac number, because 100001222001 - 22 = 100001221997 is a prime.

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 (100001222021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534666 + ... + 697043.

It is an arithmetic number, because the mean of its divisors is an integer number (4828303200).

Almost surely, 2100001222001 is an apocalyptic number.

It is an amenable number.

100001222001 is a deficient number, since it is larger than the sum of its proper divisors (54504480399).

100001222001 is a wasteful number, since it uses less digits than its factorization.

100001222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231846 (or 1231840 counting only the distinct ones).

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

Adding to 100001222001 its reverse (100222100001), we get a palindrome (200223322002).

The spelling of 100001222001 in words is "one hundred billion, one million, two hundred twenty-two thousand, one".

Divisors: 1 3 9 27 31 93 97 279 291 837 873 2619 3007 9021 27063 81189 1231709 3695127 11085381 33256143 38182979 114548937 119475773 343646811 358427319 1030940433 1075281957 3225845871 3703748963 11111246889 33333740667 100001222001