Search a number
-
+
10120112220 = 2235228773751
BaseRepresentation
bin10010110110011010…
…01010100001011100
3222010021202222010010
421123031022201130
5131211222042340
64352113043220
7505533351231
oct113315124134
928107688103
1010120112220
1143235a3109
121b65256510
13c538534aa
146c00ab788
153e36d6b80
hex25b34a85c

10120112220 has 48 divisors (see below), whose sum is σ = 28349088768. Its totient is φ = 2697480000.

The previous prime is 10120112183. The next prime is 10120112269. The reversal of 10120112220 is 2221102101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10120112196 and 10120112205.

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, 100345 + ... + 174095.

It is an arithmetic number, because the mean of its divisors is an integer number (590606016).

Almost surely, 210120112220 is an apocalyptic number.

10120112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120112220 is an abundant number, since it is smaller than the sum of its proper divisors (18228976548).

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

10120112220 is a wasteful number, since it uses less digits than its factorization.

10120112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76050 (or 76048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120112220 its reverse (2221102101), we get a palindrome (12341214321).

The spelling of 10120112220 in words is "ten billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2287 4574 6861 9148 11435 13722 22870 27444 34305 45740 68610 73751 137220 147502 221253 295004 368755 442506 737510 885012 1106265 1475020 2212530 4425060 168668537 337337074 506005611 674674148 843342685 1012011222 1686685370 2024022444 2530028055 3373370740 5060056110 10120112220