Search a number
-
+
12210034100 = 22521117652943
BaseRepresentation
bin10110101111100011…
…00101010110110100
31011111221022222222012
423113301211112310
5200001232042400
65335331223352
7611401402025
oct132761452664
934457288865
1012210034100
1151a6278380
122449147b58
1311c7823064
1483b892c4c
154b6e0cd35
hex2d7c655b4

12210034100 has 72 divisors (see below), whose sum is σ = 30604791168. Its totient is φ = 4178828800.

The previous prime is 12210034097. The next prime is 12210034121. The reversal of 12210034100 is 143001221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307772 + ... + 345171.

It is an arithmetic number, because the mean of its divisors is an integer number (425066544).

Almost surely, 212210034100 is an apocalyptic number.

12210034100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210034100 is an abundant number, since it is smaller than the sum of its proper divisors (18394757068).

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

12210034100 is a wasteful number, since it uses less digits than its factorization.

12210034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652985 (or 652978 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12210034100 its reverse (143001221), we get a palindrome (12353035321).

The spelling of 12210034100 in words is "twelve billion, two hundred ten million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 652943 1305886 2611772 3264715 6529430 7182373 11100031 13058860 14364746 16323575 22200062 28729492 32647150 35911865 44400124 55500155 65294300 71823730 111000310 122100341 143647460 179559325 222000620 244200682 277500775 359118650 488401364 555001550 610501705 718237300 1110003100 1221003410 2442006820 3052508525 6105017050 12210034100