Search a number
-
+
21121202122020 = 2233571113231698881
BaseRepresentation
bin1001100110101101010011…
…01111111110110100100100
32202210011111220001200001000
410303112221233332310210
510232022210220401040
6112530540222433300
74306646035560150
oct463265157766444
982704456050030
1021121202122020
1168034a6a73120
12245151ba32830
13ba294a821c30
145303b3530060
15269626dac130
hex1335a9bfed24

21121202122020 has 768 divisors, whose sum is σ = 92062551490560. Its totient is φ = 3875077324800.

The previous prime is 21121202121991. The next prime is 21121202122021. The reversal of 21121202122020 is 2022120212112.

It is a happy number.

21121202122020 is a `hidden beast` number, since 211 + 21 + 20 + 212 + 202 + 0 = 666.

It is a super-2 number, since 2×211212021220202 (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 = 21121202121984 and 21121202122002.

It is not an unprimeable number, because it can be changed into a prime (21121202122021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11582980 + ... + 13281860.

It is an arithmetic number, because the mean of its divisors is an integer number (119873113920).

Almost surely, 221121202122020 is an apocalyptic number.

21121202122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121202122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46031275745280).

21121202122020 is an abundant number, since it is smaller than the sum of its proper divisors (70941349368540).

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

21121202122020 is a wasteful number, since it uses less digits than its factorization.

21121202122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698953 (or 1698945 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21121202122020 its reverse (2022120212112), we get a palindrome (23143322334132).

The spelling of 21121202122020 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, twenty".