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22012002210100 = 2252724492245349
BaseRepresentation
bin1010000000101000100011…
…00100101001000100110100
32212221022211021120210122211
411000110101210221010310
510341121040031210400
6114452101344103204
74431212635440100
oct500242144510464
985838737523584
1022012002210100
117017268439a21
1225760a7004b04
13c389522a4876
1456155ab42900
152828b18bddba
hex140511929134

22012002210100 has 54 divisors (see below), whose sum is σ = 55564582734150. Its totient is φ = 7546972184640.

The previous prime is 22012002210047. The next prime is 22012002210103. The reversal of 22012002210100 is 101220021022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2413088841744 + 19598913368356 = 1553412^2 + 4427066^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012002210103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2246117775 + ... + 2246127574.

Almost surely, 222012002210100 is an apocalyptic number.

22012002210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012002210100 is an abundant number, since it is smaller than the sum of its proper divisors (33552580524050).

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

22012002210100 is a wasteful number, since it uses less digits than its factorization.

22012002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492245377 (or 4492245363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22012002210100 its reverse (101220021022), we get a palindrome (22113222231122).

The spelling of 22012002210100 in words is "twenty-two trillion, twelve billion, two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 4492245349 8984490698 17968981396 22461226745 31445717443 44922453490 62891434886 89844906980 112306133725 125782869772 157228587215 220120022101 224612267450 314457174430 440240044202 449224534900 628914348860 786142936075 880480088404 1100600110505 1572285872150 2201200221010 3144571744300 4402400442020 5503000552525 11006001105050 22012002210100