Search a number
-
+
22002010020100 = 225211166312027557
BaseRepresentation
bin1010000000010101111011…
…11111011101100100000100
32212220101000220111221211201
411000022331333131210010
510340440104031120400
6114443330040512244
74430410214303605
oct500127577354404
985811026457751
1022002010020100
117013000079760
12257417877b684
13c37a1c0c01c6
14560c8da53dac
152824c955506a
hex1402bdfdd904

22002010020100 has 72 divisors (see below), whose sum is σ = 52116082357248. Its totient is φ = 7995919228800.

The previous prime is 22002010020091. The next prime is 22002010020119. The reversal of 22002010020100 is 102001020022.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 4184479 + ... + 7843078.

It is an arithmetic number, because the mean of its divisors is an integer number (723834477184).

Almost surely, 222002010020100 is an apocalyptic number.

22002010020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002010020100 is an abundant number, since it is smaller than the sum of its proper divisors (30114072337148).

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

22002010020100 is a wasteful number, since it uses less digits than its factorization.

22002010020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029245 (or 12029238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22002010020100 its reverse (102001020022), we get a palindrome (22104011040122).

The spelling of 22002010020100 in words is "twenty-two trillion, two billion, ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1663 3326 6652 8315 16630 18293 33260 36586 41575 73172 83150 91465 166300 182930 365860 457325 914650 1829300 12027557 24055114 48110228 60137785 120275570 132303127 240551140 264606254 300688925 529212508 601377850 661515635 1202755700 1323031270 2646062540 3307578175 6615156350 13230312700 20001827291 40003654582 80007309164 100009136455 200018272910 220020100201 400036545820 440040200402 500045682275 880080400804 1000091364550 1100100501005 2000182729100 2200201002010 4400402004020 5500502505025 11001005010050 22002010020100