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12340213100 = 225219431311153
BaseRepresentation
bin10110111111000100…
…01011010101101100
31011212000021202222122
423133202023111230
5200233043304400
65400301332112
7614542036445
oct133742132554
934760252878
1012340213100
115262801826
122484867038
1312187a2157
14850c9c2cc
154c3574685
hex2df88b56c

12340213100 has 144 divisors (see below), whose sum is σ = 29088554880. Its totient is φ = 4528742400.

The previous prime is 12340213097. The next prime is 12340213103. The reversal of 12340213100 is 131204321.

It is an interprime number because it is at equal distance from previous prime (12340213097) and next prime (12340213103).

It is a super-2 number, since 2×123402131002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12340213103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10702124 + ... + 10703276.

Almost surely, 212340213100 is an apocalyptic number.

12340213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12340213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544277440).

12340213100 is an abundant number, since it is smaller than the sum of its proper divisors (16748341780).

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

12340213100 is a wasteful number, since it uses less digits than its factorization.

12340213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12340213100 its reverse (131204321), we get a palindrome (12471417421).

The spelling of 12340213100 in words is "twelve billion, three hundred forty million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 131 172 190 215 262 380 430 475 524 655 817 860 950 1075 1153 1310 1634 1900 2150 2306 2489 2620 3268 3275 4085 4300 4612 4978 5633 5765 6550 8170 9956 11266 11530 12445 13100 16340 20425 21907 22532 23060 24890 28165 28825 40850 43814 49579 49780 56330 57650 62225 81700 87628 99158 107027 109535 112660 115300 124450 140825 151043 198316 214054 219070 247895 248900 281650 302086 428108 438140 495790 535135 547675 563300 604172 755215 942001 991580 1070270 1095350 1239475 1510430 1884002 2140540 2190700 2478950 2675675 2869817 3020860 3768004 3776075 4710005 4957900 5351350 5739634 6494849 7552150 9420010 10702700 11479268 12989698 14349085 15104300 18840020 23550025 25979396 28698170 32474245 47100050 57396340 64948490 71745425 94200100 123402131 129896980 143490850 162371225 246804262 286981700 324742450 493608524 617010655 649484900 1234021310 2468042620 3085053275 6170106550 12340213100