Search a number
-
+
22020102020100 = 22352193863175793
BaseRepresentation
bin1010000000110111101000…
…10110111101110000000100
32212222002201202210210010210
411000123310112331300010
510341234132104120400
6114455521211115420
74431620440621362
oct500336426756004
985862652723123
1022020102020100
11701a744589078
122577787742b70
13c396433c2b52
14561ac878c632
15282bd7a32950
hex1406f45bdc04

22020102020100 has 72 divisors (see below), whose sum is σ = 67064731783840. Its totient is φ = 5562973140480.

The previous prime is 22020102020041. The next prime is 22020102020117. The reversal of 22020102020100 is 102020102022.

It is a super-2 number, since 2×220201020201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1931582197 + ... + 1931593596.

Almost surely, 222020102020100 is an apocalyptic number.

22020102020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020102020100 is an abundant number, since it is smaller than the sum of its proper divisors (45044629763740).

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

22020102020100 is a wasteful number, since it uses less digits than its factorization.

22020102020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863175829 (or 3863175822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22020102020100 its reverse (102020102022), we get a palindrome (22122122122122).

The spelling of 22020102020100 in words is "twenty-two trillion, twenty billion, one hundred two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 3863175793 7726351586 11589527379 15452703172 19315878965 23179054758 38631757930 46358109516 57947636895 73400340067 77263515860 96579394825 115895273790 146800680134 193158789650 220201020201 231790547580 289738184475 293601360268 367001700335 386317579300 440402040402 579476368950 734003400670 880804080804 1101005101005 1158952737900 1468006801340 1835008501675 2202010202010 3670017003350 4404020404020 5505025505025 7340034006700 11010051010050 22020102020100