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100032020021 = 1943122438213
BaseRepresentation
bin101110100101001011…
…1110111111000110101
3100120012101220010110102
41131022113313320311
53114331144120041
6113542025203445
710140613066223
oct1351227677065
9316171803412
10100032020021
113947251622a
1217478630585
139582340cbb
144bad3d7b13
152906e6209b
hex174a5f7e35

100032020021 has 8 divisors (see below), whose sum is σ = 107745628320. Its totient is φ = 92563288272.

The previous prime is 100032019991. The next prime is 100032020057. The reversal of 100032020021 is 120020230001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100032020021 - 226 = 99964911157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100032019984 and 100032020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032020521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61218290 + ... + 61219923.

It is an arithmetic number, because the mean of its divisors is an integer number (13468203540).

Almost surely, 2100032020021 is an apocalyptic number.

It is an amenable number.

100032020021 is a deficient number, since it is larger than the sum of its proper divisors (7713608299).

100032020021 is a wasteful number, since it uses less digits than its factorization.

100032020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122438275.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100032020021 its reverse (120020230001), we get a palindrome (220052250022).

The spelling of 100032020021 in words is "one hundred billion, thirty-two million, twenty thousand, twenty-one".

Divisors: 1 19 43 817 122438213 2326326047 5264843159 100032020021