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10132022120 = 2351122093393
BaseRepresentation
bin10010110111110101…
…00110001101101000
3222011010012001102112
421123322212031220
5131222244201440
64353220221452
7506036524043
oct113372461550
928133161375
1010132022120
11432a298200
121b6923a888
13c5616347c
146c18cbc5a
153e478a965
hex25bea6368

10132022120 has 48 divisors (see below), whose sum is σ = 25057926180. Its totient is φ = 3684369920.

The previous prime is 10132022119. The next prime is 10132022129. The reversal of 10132022120 is 2122023101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8371884004 + 1760138116 = 91498^2 + 41954^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10132022095 and 10132022104.

It is not an unprimeable number, because it can be changed into a prime (10132022129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041857 + ... + 1051536.

Almost surely, 210132022120 is an apocalyptic number.

10132022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132022120 is an abundant number, since it is smaller than the sum of its proper divisors (14925904060).

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

10132022120 is a wasteful number, since it uses less digits than its factorization.

10132022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093426 (or 2093411 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10132022120 its reverse (2122023101), we get a palindrome (12254045221).

The spelling of 10132022120 in words is "ten billion, one hundred thirty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 2093393 4186786 8373572 10466965 16747144 20933930 23027323 41867860 46054646 83735720 92109292 115136615 184218584 230273230 253300553 460546460 506601106 921092920 1013202212 1266502765 2026404424 2533005530 5066011060 10132022120