Search a number
-
+
12501532036230 = 2357344327674657
BaseRepresentation
bin1011010111101011110101…
…1000000100110010000110
31122021010122021002022122120
42311322331120010302012
53114311114200124410
642331042522110410
72430130421665656
oct265727530046206
948233567068576
1012501532036230
113a8a962a13846
12149aa6994b406
136c8b74068673
14313112484366
1516a2d82ca570
hexb5ebd604c86

12501532036230 has 128 divisors (see below), whose sum is σ = 30500907153408. Its totient is φ = 3278762053632.

The previous prime is 12501532036199. The next prime is 12501532036261. The reversal of 12501532036230 is 3263023510521.

12501532036230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12501532036199) and next prime (12501532036261).

It is a super-3 number, since 3×125015320362303 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12501532036191 and 12501532036200.

It is a congruent number.

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, 2684458062 + ... + 2684462718.

It is an arithmetic number, because the mean of its divisors is an integer number (238288337136).

Almost surely, 212501532036230 is an apocalyptic number.

12501532036230 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 12501532036230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15250453576704).

12501532036230 is an abundant number, since it is smaller than the sum of its proper divisors (17999375117178).

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

12501532036230 is a wasteful number, since it uses less digits than its factorization.

12501532036230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950.

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 12501532036230 its reverse (3263023510521), we get a palindrome (15764555546751).

The spelling of 12501532036230 in words is "twelve trillion, five hundred one billion, five hundred thirty-two million, thirty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 443 730 886 1095 1329 2190 2215 2658 2767 4430 4657 5534 6645 8301 9314 13290 13835 13971 16602 23285 27670 27942 32339 41505 46570 64678 69855 83010 97017 139710 161695 194034 201991 323390 339961 403982 485085 605973 679922 970170 1009955 1019883 1211946 1225781 1699805 2019910 2039766 2063051 2451562 3029865 3399610 3677343 4126102 5099415 6059730 6128905 6189153 7354686 10198830 10315255 12257810 12378306 12885919 18386715 20630510 25771838 30945765 36773430 38657757 61891530 64429595 77315514 89482013 128859190 150602723 178964026 193288785 268446039 301205446 386577570 447410065 451808169 536892078 753013615 894820130 903616338 940672087 1342230195 1506027230 1881344174 2259040845 2684460390 2822016261 4518081690 4703360435 5644032522 5708462117 9406720870 11416924234 14110081305 17125386351 28220162610 28542310585 34250772702 57084621170 85626931755 171253863510 416717734541 833435469082 1250153203623 2083588672705 2500306407246 4167177345410 6250766018115 12501532036230