Search a number
-
+
10102212220 = 22519412932213
BaseRepresentation
bin10010110100010001…
…11000011001111100
3222002001002112221011
421122020320121330
5131142131242340
64350233245004
7505225246522
oct113210703174
928061075834
1010102212220
114314487621
121b5b263764
13c4cc26b89
146bb96c312
153e1d4d0ea
hex25a23867c

10102212220 has 96 divisors (see below), whose sum is σ = 22964316480. Its totient is φ = 3720407040.

The previous prime is 10102212217. The next prime is 10102212221. The reversal of 10102212220 is 2221220101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102212220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102212221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4563834 + ... + 4566046.

It is an arithmetic number, because the mean of its divisors is an integer number (239211630).

Almost surely, 210102212220 is an apocalyptic number.

10102212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11482158240).

10102212220 is an abundant number, since it is smaller than the sum of its proper divisors (12862104260).

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

10102212220 is a wasteful number, since it uses less digits than its factorization.

10102212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2573 counting only the distinct ones).

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

Adding to 10102212220 its reverse (2221220101), we get a palindrome (12323432321).

The spelling of 10102212220 in words is "ten billion, one hundred two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 293 380 410 586 779 820 1172 1465 1558 2213 2930 3116 3895 4426 5567 5860 7790 8852 11065 11134 12013 15580 22130 22268 24026 27835 42047 44260 48052 55670 60065 84094 90733 111340 120130 168188 181466 210235 228247 240260 362932 420470 453665 456494 648409 840940 907330 912988 1141235 1296818 1723927 1814660 2282470 2593636 3242045 3447854 4564940 6484090 6895708 8619635 12319771 12968180 17239270 24639542 26584769 34478540 49279084 53169538 61598855 106339076 123197710 132923845 246395420 265847690 505110611 531695380 1010221222 2020442444 2525553055 5051106110 10102212220