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102134220001 = 11101280332797
BaseRepresentation
bin101111100011110101…
…1001000010011100001
3100202121220112221200221
41133013223020103201
53133132330020001
6114530402443041
710243660355152
oct1370753102341
9322556487627
10102134220001
113a351117190
1217964663481
139828a1c308
144d2c697929
1529cb7b11a1
hex17c7ac84e1

102134220001 has 16 divisors (see below), whose sum is σ = 112565884608. Its totient is φ = 91894392000.

The previous prime is 102134219969. The next prime is 102134220031. The reversal of 102134220001 is 100022431201.

It is a cyclic number.

It is not a de Polignac number, because 102134220001 - 25 = 102134219969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102134220031) 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, 3097735 + ... + 3130531.

It is an arithmetic number, because the mean of its divisors is an integer number (7035367788).

Almost surely, 2102134220001 is an apocalyptic number.

102134220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102134220001 is a deficient number, since it is larger than the sum of its proper divisors (10431664607).

102134220001 is a wasteful number, since it uses less digits than its factorization.

102134220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35712.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102134220001 its reverse (100022431201), we get a palindrome (202156651202).

The spelling of 102134220001 in words is "one hundred two billion, one hundred thirty-four million, two hundred twenty thousand, one".

Divisors: 1 11 101 1111 2803 30833 32797 283103 360767 3114133 3312497 36437467 91929991 1011229901 9284929091 102134220001