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102021232001 = 1323373178973
BaseRepresentation
bin101111100000011110…
…0000111010110000001
3100202100000221120022012
41133000330013112001
53132414413411001
6114511245022305
710241116110113
oct1370074072601
9322300846265
10102021232001
113a2a3364677
1217932854995
13980b4abc00
144d1b6853b3
1529c18e32bb
hex17c0f07581

102021232001 has 12 divisors (see below), whose sum is σ = 110506064508. Its totient is φ = 94144999104.

The previous prime is 102021231989. The next prime is 102021232007. The reversal of 102021232001 is 100232120201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7043237776 + 94977994225 = 83924^2 + 308185^2 .

It is a de Polignac number, because none of the positive numbers 2k-102021232001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102021232007) 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 11 ways as a sum of consecutive naturals, for example, 480551 + ... + 659523.

It is an arithmetic number, because the mean of its divisors is an integer number (9208838709).

Almost surely, 2102021232001 is an apocalyptic number.

It is an amenable number.

102021232001 is a deficient number, since it is larger than the sum of its proper divisors (8484832507).

102021232001 is a wasteful number, since it uses less digits than its factorization.

102021232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182372 (or 182359 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102021232001 its reverse (100232120201), we get a palindrome (202253352202).

The spelling of 102021232001 in words is "one hundred two billion, twenty-one million, two hundred thirty-two thousand, one".

Divisors: 1 13 169 3373 43849 178973 570037 2326649 30246437 603675929 7847787077 102021232001