Search a number
-
+
100210022012020 = 22552091070989821
BaseRepresentation
bin10110110010001111110110…
…110000111101010001110100
3111010210222120201210011201111
4112302033312300331101310
5101113320111113341040
6553043503143204404
730051635522610214
oct2662176660752164
9433728521704644
10100210022012020
1129a25916a57338
12b2a5459746704
1343bb9c288b73b
141aa6295d46244
15b8ba5c9eddea
hex5b23f6c3d474

100210022012020 has 48 divisors (see below), whose sum is σ = 210503443928400. Its totient is φ = 40072125219840.

The previous prime is 100210022012003. The next prime is 100210022012069. The reversal of 100210022012020 is 20210220012001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7207066421604 + 93002955590416 = 2684598^2 + 9643804^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1115618710 + ... + 1115708530.

It is an arithmetic number, because the mean of its divisors is an integer number (4385488415175).

Almost surely, 2100210022012020 is an apocalyptic number.

100210022012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210022012020 is an abundant number, since it is smaller than the sum of its proper divisors (110293421916380).

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

100210022012020 is a wasteful number, since it uses less digits than its factorization.

100210022012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105748 (or 105746 counting only the distinct ones).

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

Adding to 100210022012020 its reverse (20210220012001), we get a palindrome (120420242024021).

The spelling of 100210022012020 in words is "one hundred trillion, two hundred ten billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 5209 10418 10709 20836 21418 26045 42836 52090 53545 89821 104180 107090 179642 214180 359284 449105 898210 1796420 55783181 111566362 223132724 278915905 467877589 557831810 935755178 961893089 1115663620 1871510356 1923786178 2339387945 3847572356 4678775890 4809465445 9357551780 9618930890 19237861780 5010501100601 10021002201202 20042004402404 25052505503005 50105011006010 100210022012020