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21132222021020 = 22511852291127029
BaseRepresentation
bin1001100111000001110101…
…00101100011110110011100
32202211012221212221112120102
410303200322211203312130
510232212242314133040
6112540001521240232
74310516106301445
oct463407245436634
982735855845512
1021132222021020
116808141462370
122453696493078
13ba39b58c5a26
14530b3ad002cc
15269a6e57c515
hex13383a963d9c

21132222021020 has 48 divisors (see below), whose sum is σ = 48412610517600. Its totient is φ = 7684347390720.

The previous prime is 21132222020893. The next prime is 21132222021023. The reversal of 21132222021020 is 2012022223112.

It is a super-2 number, since 2×211322220210202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21132222020983 and 21132222021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132222021023) 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 15 ways as a sum of consecutive naturals, for example, 18186866 + ... + 19313894.

It is an arithmetic number, because the mean of its divisors is an integer number (1008596052450).

Almost surely, 221132222021020 is an apocalyptic number.

21132222021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132222021020 is an abundant number, since it is smaller than the sum of its proper divisors (27280388496580).

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

21132222021020 is a wasteful number, since it uses less digits than its factorization.

21132222021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212278 (or 1212276 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21132222021020 its reverse (2012022223112), we get a palindrome (23144244244132).

The spelling of 21132222021020 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 85229 170458 340916 426145 852290 937519 1127029 1704580 1875038 2254058 3750076 4508116 4687595 5635145 9375190 11270290 12397319 18750380 22540580 24794638 49589276 61986595 123973190 247946380 96055554641 192111109282 384222218564 480277773205 960555546410 1056611101051 1921111092820 2113222202102 4226444404204 5283055505255 10566111010510 21132222021020