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102012100001 = 716061907363
BaseRepresentation
bin101111100000001100…
…1010001110110100001
3100202022101202121112222
41133000121101312201
53132410044200001
6114510321200425
710240645354160
oct1370031216641
9322271677488
10102012100001
113a299197669
121792b790115
139809632466
144d1a3893d7
1529c0bdc61b
hex17c0651da1

102012100001 has 8 divisors (see below), whose sum is σ = 116592644544. Its totient is φ = 87433402320.

The previous prime is 102012099953. The next prime is 102012100027. The reversal of 102012100001 is 100001210201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102012100001 is a prime.

It is a super-2 number, since 2×1020121000012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102012100061) 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 7 ways as a sum of consecutive naturals, for example, 341255 + ... + 566108.

It is an arithmetic number, because the mean of its divisors is an integer number (14574080568).

Almost surely, 2102012100001 is an apocalyptic number.

It is an amenable number.

102012100001 is a deficient number, since it is larger than the sum of its proper divisors (14580544543).

102012100001 is an equidigital number, since it uses as much as digits as its factorization.

102012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923431.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102012100001 its reverse (100001210201), we get a palindrome (202013310202).

The spelling of 102012100001 in words is "one hundred two billion, twelve million, one hundred thousand, one".

Divisors: 1 7 16061 112427 907363 6351541 14573157143 102012100001