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10220114120 = 235442157793
BaseRepresentation
bin10011000010010101…
…01001000011001000
3222101020221120221012
421201022221003020
5131412322122440
64410044303052
7511156352036
oct114112510310
928336846835
1010220114120
114374a96007
121b92841a88
13c6b497b08
146cd49d556
153ec38be65
hex2612a90c8

10220114120 has 32 divisors (see below), whose sum is σ = 23000856120. Its totient is φ = 4087050240.

The previous prime is 10220114071. The next prime is 10220114129. The reversal of 10220114120 is 2141102201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9974815876 + 245298244 = 99874^2 + 15662^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10220114095 and 10220114104.

It is not an unprimeable number, because it can be changed into a prime (10220114129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147944 + ... + 205736.

Almost surely, 210220114120 is an apocalyptic number.

10220114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220114120 is an abundant number, since it is smaller than the sum of its proper divisors (12780742000).

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

10220114120 is a wasteful number, since it uses less digits than its factorization.

10220114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62225 (or 62221 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10220114120 its reverse (2141102201), we get a palindrome (12361216321).

The spelling of 10220114120 in words is "ten billion, two hundred twenty million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4421 8842 17684 22105 35368 44210 57793 88420 115586 176840 231172 288965 462344 577930 1155860 2311720 255502853 511005706 1022011412 1277514265 2044022824 2555028530 5110057060 10220114120