Search a number
-
+
12102200610 = 2354773117577
BaseRepresentation
bin10110100010101100…
…01110110100100010
31011020102102111020020
423101112032310202
5144241130404420
65320520054310
7605622002463
oct132126166442
934212374206
1012102200610
115150416495
122419004396
1311ab398b66
1482b422d6a
154ac70c340
hex2d158ed22

12102200610 has 64 divisors (see below), whose sum is σ = 30069868032. Its totient is φ = 3115293696.

The previous prime is 12102200609. The next prime is 12102200681. The reversal of 12102200610 is 1600220121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12102200610.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44142 + ... + 161718.

It is an arithmetic number, because the mean of its divisors is an integer number (469841688).

Almost surely, 212102200610 is an apocalyptic number.

12102200610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102200610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034934016).

12102200610 is an abundant number, since it is smaller than the sum of its proper divisors (17967667422).

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

12102200610 is a wasteful number, since it uses less digits than its factorization.

12102200610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117707.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12102200610 its reverse (1600220121), we get a palindrome (13702420731).

The spelling of 12102200610 in words is "twelve billion, one hundred two million, two hundred thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 73 94 141 146 219 235 282 365 438 470 705 730 1095 1410 2190 3431 6862 10293 17155 20586 34310 51465 102930 117577 235154 352731 587885 705462 1175770 1763655 3527310 5526119 8583121 11052238 16578357 17166242 25749363 27630595 33156714 42915605 51498726 55261190 82891785 85831210 128746815 165783570 257493630 403406687 806813374 1210220061 2017033435 2420440122 4034066870 6051100305 12102200610