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21210132121020 = 22325117834067339
BaseRepresentation
bin1001101001010010111100…
…11001000000010110111100
32210002200001120112200201200
410310221132121000112330
510240001322310333040
6113035444501135500
74316244563233233
oct464513631002674
983080046480650
1021210132121020
1168381916a9667
1224667ba3ba590
13bab150a67c0b
1453480c29bb1a
1526bace32b630
hex134a5e6405bc

21210132121020 has 36 divisors (see below), whose sum is σ = 64337400767640. Its totient is φ = 5656035232224.

The previous prime is 21210132121019. The next prime is 21210132121049. The reversal of 21210132121020 is 2012123101212.

21210132121020 is a `hidden beast` number, since 2 + 12 + 101 + 321 + 210 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×212101321210202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21210132120984 and 21210132121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58917033490 + ... + 58917033849.

Almost surely, 221210132121020 is an apocalyptic number.

21210132121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210132121020 is an abundant number, since it is smaller than the sum of its proper divisors (43127268646620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21210132121020 is a wasteful number, since it uses less digits than its factorization.

21210132121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117834067354 (or 117834067349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21210132121020 its reverse (2012123101212), we get a palindrome (23222255222232).

The spelling of 21210132121020 in words is "twenty-one trillion, two hundred ten billion, one hundred thirty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117834067339 235668134678 353502202017 471336269356 589170336695 707004404034 1060506606051 1178340673390 1414008808068 1767511010085 2121013212102 2356681346780 3535022020170 4242026424204 5302533030255 7070044040340 10605066060510 21210132121020