Search a number
-
+
10012000303230 = 2352337604764853
BaseRepresentation
bin1001000110110001100110…
…1110001011100001111110
31022110010201111220211010120
42101230121232023201332
52303014034034200410
633143241025115410
72052225462263142
oct221543156134176
938403644824116
1010012000303230
11321007a1824a2
121158486788b66
13578187398073
14268824bc9222
1512567d723570
hex91b19b8b87e

10012000303230 has 128 divisors (see below), whose sum is σ = 25755849842688. Its totient is φ = 2484315136512.

The previous prime is 10012000303223. The next prime is 10012000303237. The reversal of 10012000303230 is 3230300021001.

It is an interprime number because it is at equal distance from previous prime (10012000303223) and next prime (10012000303237).

It is a super-2 number, since 2×100120003032302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012000303237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154347484 + ... + 154412336.

It is an arithmetic number, because the mean of its divisors is an integer number (201217576896).

Almost surely, 210012000303230 is an apocalyptic number.

10012000303230 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 10012000303230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877924921344).

10012000303230 is an abundant number, since it is smaller than the sum of its proper divisors (15743849539458).

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

10012000303230 is a wasteful number, since it uses less digits than its factorization.

10012000303230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70970.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10012000303230 its reverse (3230300021001), we get a palindrome (13242300324231).

The spelling of 10012000303230 in words is "ten trillion, twelve billion, three hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 690 851 1110 1702 2553 4255 5106 6047 8510 12094 12765 18141 25530 30235 36282 60470 64853 90705 129706 139081 181410 194559 223739 278162 324265 389118 417243 447478 648530 671217 695405 834486 972795 1118695 1342434 1390810 1491619 1945590 2086215 2237390 2399561 2983238 3356085 4172430 4474857 4799122 5145997 6712170 7198683 7458095 8949714 10291994 11997805 14397366 14916190 15437991 22374285 23995610 25729985 30875982 35993415 44748570 51459970 55189903 71986830 77189955 110379806 154379910 165569709 275949515 331139418 392166091 551899030 784332182 827848545 1176498273 1655697090 1960830455 2352996546 3921660910 5882491365 9019820093 11764982730 14510145367 18039640186 27059460279 29020290734 43530436101 45099100465 54118920558 72550726835 87060872202 90198200930 135297301395 145101453670 217652180505 270594602790 333733343441 435304361010 667466686882 1001200030323 1668666717205 2002400060646 3337333434410 5006000151615 10012000303230