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100023322001 = 2329672238209
BaseRepresentation
bin101110100100111011…
…0101100010110010001
3100120011210112020000112
41131021312230112101
53114321432301001
6113541114531105
710140446131451
oct1351166542621
9316153466015
10100023322001
1139468615289
1217475736a95
1395805b6c45
144bac1b1d61
1529062e4cbb
hex1749dac591

100023322001 has 16 divisors (see below), whose sum is σ = 109582761600. Its totient is φ = 90996584448.

The previous prime is 100023321967. The next prime is 100023322019. The reversal of 100023322001 is 100223320001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100023322001 - 214 = 100023305617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100023322031) 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 15 ways as a sum of consecutive naturals, for example, 1074416 + ... + 1163793.

It is an arithmetic number, because the mean of its divisors is an integer number (6848922600).

Almost surely, 2100023322001 is an apocalyptic number.

It is an amenable number.

100023322001 is a deficient number, since it is larger than the sum of its proper divisors (9559439599).

100023322001 is a wasteful number, since it uses less digits than its factorization.

100023322001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238328.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100023322001 its reverse (100223320001), we get a palindrome (200246642002).

The spelling of 100023322001 in words is "one hundred billion, twenty-three million, three hundred twenty-two thousand, one".

Divisors: 1 23 29 67 667 1541 1943 44689 2238209 51478807 64908061 149960003 1492885403 3449080069 4348840087 100023322001