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101020032312021 = 341976330765953
BaseRepresentation
bin10110111110000010001111…
…001001000010001011010101
3111020200102100202001211210000
4112332002033021002023111
5101220103011232441041
6554503543455121513
730164312400553314
oct2676021711021325
9436612322054700
10101020032312021
112a20839a720639
12b3b6438513299
13444a1c06c0844
141ad357795227b
15ba2b69a35bb6
hex5be08f2422d5

101020032312021 has 20 divisors (see below), whose sum is σ = 151672490725932. Its totient is φ = 67004826835968.

The previous prime is 101020032312019. The next prime is 101020032312151. The reversal of 101020032312021 is 120213230020101.

101020032312021 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 200 + 323 + 120 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71847492164100 + 29172540147921 = 8476290^2 + 5401161^2 .

It is not a de Polignac number, because 101020032312021 - 21 = 101020032312019 is a prime.

It is a super-2 number, since 2×1010200323120212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101020032311985 and 101020032312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020032312821) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3165367020 + ... + 3165398933.

Almost surely, 2101020032312021 is an apocalyptic number.

It is an amenable number.

101020032312021 is a deficient number, since it is larger than the sum of its proper divisors (50652458413911).

101020032312021 is an equidigital number, since it uses as much as digits as its factorization.

101020032312021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330766162 (or 6330766153 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101020032312021 its reverse (120213230020101), we get a palindrome (221233262332122).

The spelling of 101020032312021 in words is "one hundred one trillion, twenty billion, thirty-two million, three hundred twelve thousand, twenty-one".

Divisors: 1 3 9 27 81 197 591 1773 5319 15957 6330765953 18992297859 56976893577 170930680731 512792042193 1247160892741 3741482678223 11224448034669 33673344104007 101020032312021