Search a number
-
+
12200202210 = 2357314674013
BaseRepresentation
bin10110101110011000…
…00100111111100010
31011111020211111011010
423113030010333202
5144441222432320
65334340401350
7611222002440
oct132714047742
934436744133
1012200202210
1151a0772549
1224459a6256
1311c578cb81
1483a453b90
154b6119ae0
hex2d7304fe2

12200202210 has 128 divisors (see below), whose sum is σ = 34625470464. Its totient is φ = 2692212480.

The previous prime is 12200202109. The next prime is 12200202229. The reversal of 12200202210 is 1220200221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3038164 + ... + 3042176.

It is an arithmetic number, because the mean of its divisors is an integer number (270511488).

Almost surely, 212200202210 is an apocalyptic number.

12200202210 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 12200202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312735232).

12200202210 is an abundant number, since it is smaller than the sum of its proper divisors (22425268254).

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

12200202210 is a wasteful number, since it uses less digits than its factorization.

12200202210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12200202210 its reverse (1220200221), we get a palindrome (13420402431).

The spelling of 12200202210 in words is "twelve billion, two hundred million, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 467 651 930 934 1085 1302 1401 2170 2335 2802 3255 3269 4013 4670 6510 6538 7005 8026 9807 12039 14010 14477 16345 19614 20065 24078 28091 28954 32690 40130 43431 49035 56182 60195 72385 84273 86862 98070 101339 120390 124403 140455 144770 168546 202678 217155 248806 280910 304017 373209 421365 434310 506695 608034 622015 746418 842730 870821 1013390 1244030 1520085 1741642 1866045 1874071 2612463 3040170 3732090 3748142 4354105 5224926 5622213 8708210 9370355 11244426 13062315 13118497 18740710 26124630 26236994 28111065 39355491 56222130 58096201 65592485 78710982 116192402 131184970 174288603 196777455 290481005 348577206 393554910 406673407 580962010 813346814 871443015 1220020221 1742886030 2033367035 2440040442 4066734070 6100101105 12200202210