Search a number
-
+
12202001010 = 2325173378233
BaseRepresentation
bin10110101110100101…
…11100001001110010
31011111101012212122100
423113102330021302
5144442203013020
65334443121230
7611243203653
oct132722741162
934441185570
1012202001010
1151a1790a61
122446513216
1311c5c6c854
1483a7a152a
154b6372a90
hex2d74bc272

12202001010 has 48 divisors (see below), whose sum is σ = 31743914904. Its totient is φ = 3251947776.

The previous prime is 12202000961. The next prime is 12202001017. The reversal of 12202001010 is 1010020221.

It can be written as a sum of positive squares in 4 ways, for example, as 5542951401 + 6659049609 = 74451^2 + 81603^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12202000983 and 12202001001.

It is not an unprimeable number, because it can be changed into a prime (12202001017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116854 + ... + 195086.

Almost surely, 212202001010 is an apocalyptic number.

12202001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12202001010 is an abundant number, since it is smaller than the sum of its proper divisors (19541913894).

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

12202001010 is a wasteful number, since it uses less digits than its factorization.

12202001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79979 (or 79976 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12202001010 its reverse (1010020221), we get a palindrome (13212021231).

The spelling of 12202001010 in words is "twelve billion, two hundred two million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1733 3466 5199 8665 10398 15597 17330 25995 31194 51990 77985 78233 155970 156466 234699 391165 469398 704097 782330 1173495 1408194 2346990 3520485 7040970 135577789 271155578 406733367 677888945 813466734 1220200101 1355777890 2033666835 2440400202 4067333670 6101000505 12202001010