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100120011201 = 35758859501
BaseRepresentation
bin101110100111110011…
…1100010000111000001
3100120102112110112200000
41131033213202013001
53120021210324301
6113554451150213
710143032024250
oct1351747420701
9316375415600
10100120011201
1139508155311
12174a1ba5369
13959763b7a2
144bbad80797
15290ea43786
hex174f9e21c1

100120011201 has 24 divisors (see below), whose sum is σ = 171398869824. Its totient is φ = 57211434000.

The previous prime is 100120011169. The next prime is 100120011247. The reversal of 100120011201 is 102110021001.

It is a happy number.

It is not a de Polignac number, because 100120011201 - 25 = 100120011169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100120015201) 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 23 ways as a sum of consecutive naturals, for example, 29428050 + ... + 29431451.

It is an arithmetic number, because the mean of its divisors is an integer number (7141619576).

Almost surely, 2100120011201 is an apocalyptic number.

It is an amenable number.

100120011201 is a deficient number, since it is larger than the sum of its proper divisors (71278858623).

100120011201 is an frugal number, since it uses more digits than its factorization.

100120011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58859523 (or 58859511 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100120011201 its reverse (102110021001), we get a palindrome (202230032202).

The spelling of 100120011201 in words is "one hundred billion, one hundred twenty million, eleven thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 58859501 176578503 412016507 529735509 1236049521 1589206527 3708148563 4767619581 11124445689 14302858743 33373337067 100120011201