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12422013210 = 23251031638221
BaseRepresentation
bin10111001000110100…
…01110000100011010
31012001201012122122100
423210122032010122
5200420013410320
65412342504230
7616554240645
oct134432160432
935051178570
1012422013210
1152a49a2422
1224a8135076
13122c712999
1485bab2a5c
154ca831790
hex2e468e11a

12422013210 has 96 divisors (see below), whose sum is σ = 32814857088. Its totient is φ = 3259854720.

The previous prime is 12422013209. The next prime is 12422013217. The reversal of 12422013210 is 1231022421.

It is a happy number.

12422013210 is a `hidden beast` number, since 124 + 220 + 1 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12422013217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506900 + ... + 1515120.

It is an arithmetic number, because the mean of its divisors is an integer number (341821428).

Almost surely, 212422013210 is an apocalyptic number.

12422013210 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 12422013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16407428544).

12422013210 is an abundant number, since it is smaller than the sum of its proper divisors (20392843878).

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

12422013210 is a wasteful number, since it uses less digits than its factorization.

12422013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12422013210 its reverse (1231022421), we get a palindrome (13653035631).

The spelling of 12422013210 in words is "twelve billion, four hundred twenty-two million, thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 163 206 309 326 489 515 618 815 927 978 1030 1467 1545 1630 1854 2445 2934 3090 4635 4890 7335 8221 9270 14670 16442 16789 24663 33578 41105 49326 50367 73989 82210 83945 100734 123315 147978 151101 167890 246630 251835 302202 369945 503670 739890 755505 846763 1340023 1511010 1693526 2540289 2680046 4020069 4233815 5080578 6700115 7620867 8040138 8467630 12060207 12701445 13400230 15241734 20100345 24120414 25402890 38104335 40200690 60301035 76208670 120602070 138022369 276044738 414067107 690111845 828134214 1242201321 1380223690 2070335535 2484402642 4140671070 6211006605 12422013210