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100022012001 = 335979778781
BaseRepresentation
bin101110100100111000…
…1101100100001100001
3100120011201001200001000
41131021301230201201
53114321113341001
6113541030502213
710140432034302
oct1351161544141
9316151050030
10100022012001
113946790003a
1217475204969
1395802488b2
144babd507a9
152906136a86
hex1749c6c861

100022012001 has 32 divisors (see below), whose sum is σ = 150883286400. Its totient is φ = 65468070720.

The previous prime is 100022011949. The next prime is 100022012021. The reversal of 100022012001 is 100210220001.

It is not a de Polignac number, because 100022012001 - 226 = 99954903137 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 (100022012021) 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, 1230231 + ... + 1309011.

It is an arithmetic number, because the mean of its divisors is an integer number (4715102700).

Almost surely, 2100022012001 is an apocalyptic number.

It is an amenable number.

100022012001 is a deficient number, since it is larger than the sum of its proper divisors (50861274399).

100022012001 is an equidigital number, since it uses as much as digits as its factorization.

100022012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79646 (or 79640 counting only the distinct ones).

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

Adding to 100022012001 its reverse (100210220001), we get a palindrome (200232232002).

The spelling of 100022012001 in words is "one hundred billion, twenty-two million, twelve thousand, one".

Divisors: 1 3 9 27 59 177 531 797 1593 2391 7173 21519 47023 78781 141069 236343 423207 709029 1269621 2127087 4648079 13944237 41832711 62788457 125498133 188365371 565096113 1695288339 3704518963 11113556889 33340670667 100022012001