Search a number
-
+
20202222121020 = 22325701771599307
BaseRepresentation
bin1001001011111101100100…
…10001011111000000111100
32122112022110121001122010200
410211332302101133000330
510121443122330333040
6110544434524003500
74153363616466552
oct445766221370074
978468417048120
1020202222121020
116489794797695
1223233ab390590
13b370a4aab204
144dbb154d7bd2
1525078d446630
hex125fb245f03c

20202222121020 has 72 divisors (see below), whose sum is σ = 61280985305904. Its totient is φ = 5387179097088.

The previous prime is 20202222121007. The next prime is 20202222121031. The reversal of 20202222121020 is 2012122220202.

20202222121020 is a `hidden beast` number, since 202 + 0 + 222 + 212 + 10 + 20 = 666.

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 = 20202222120984 and 20202222121002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11832207 + ... + 13431513.

Almost surely, 220202222121020 is an apocalyptic number.

20202222121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202222121020 is an abundant number, since it is smaller than the sum of its proper divisors (41078763184884).

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

20202222121020 is a wasteful number, since it uses less digits than its factorization.

20202222121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669499 (or 1669494 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20202222121020 its reverse (2012122220202), we get a palindrome (22214344341222).

It can be divided in two parts, 20202 and 222121020, that added together give a palindrome (222141222).

The spelling of 20202222121020 in words is "twenty trillion, two hundred two billion, two hundred twenty-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 70177 140354 210531 280708 350885 421062 631593 701770 842124 1052655 1263186 1403540 1599307 2105310 2526372 3157965 3198614 4210620 4797921 6315930 6397228 7996535 9595842 12631860 14393763 15993070 19191684 23989605 28787526 31986140 47979210 57575052 71968815 95958420 143937630 287875260 112234567339 224469134678 336703702017 448938269356 561172836695 673407404034 1010111106051 1122345673390 1346814808068 1683518510085 2020222212102 2244691346780 3367037020170 4040444424204 5050555530255 6734074040340 10101111060510 20202222121020