Search a number
-
+
10922315122100 = 2252109223151221
BaseRepresentation
bin1001111011110000110010…
…1101101000010110110100
31102200011101220211222210102
42132330030231220112310
52412422400132401400
635121350423013232
72205053102464664
oct236741455502664
942604356758712
1010922315122100
113531145162388
12128499929a218
13612c7bb2a495
1429a9000841a4
1513e1ab5979d5
hex9ef0cb685b4

10922315122100 has 18 divisors (see below), whose sum is σ = 23701423815174. Its totient is φ = 4368926048800.

The previous prime is 10922315122099. The next prime is 10922315122151. The reversal of 10922315122100 is 122151322901.

It can be written as a sum of positive squares in 3 ways, for example, as 1809487709584 + 9112827412516 = 1345172^2 + 3018746^2 .

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 5 ways as a sum of consecutive naturals, for example, 54611575511 + ... + 54611575710.

Almost surely, 210922315122100 is an apocalyptic number.

10922315122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10922315122100 is an abundant number, since it is smaller than the sum of its proper divisors (12779108693074).

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

10922315122100 is a wasteful number, since it uses less digits than its factorization.

10922315122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109223151235 (or 109223151228 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 10922315122100 in words is "ten trillion, nine hundred twenty-two billion, three hundred fifteen million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109223151221 218446302442 436892604884 546115756105 1092231512210 2184463024420 2730578780525 5461157561050 10922315122100