Search a number
-
+
113132201000010 = 235314127110948387
BaseRepresentation
bin11001101110010010100100…
…101001110011110001001010
3112211120022222121022200120220
4121232102210221303301022
5104312024221424000020
61040340114325330510
732554350255653643
oct3156224451636112
9484508877280526
10113132201000010
1133058108128975
1210831941266a36
134b1842299774a
141dd18b07606ca
15d12c65133240
hex66e4a4a73c4a

113132201000010 has 128 divisors (see below), whose sum is σ = 288171381915648. Its totient is φ = 28378216512000.

The previous prime is 113132200999991. The next prime is 113132201000033. The reversal of 113132201000010 is 10000102231311.

It is a happy number.

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

It is an unprimeable number.

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, 4859037 + ... + 15807423.

It is an arithmetic number, because the mean of its divisors is an integer number (2251338921216).

Almost surely, 2113132201000010 is an apocalyptic number.

113132201000010 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 113132201000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144085690957824).

113132201000010 is an abundant number, since it is smaller than the sum of its proper divisors (175039180915638).

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

113132201000010 is a wasteful number, since it uses less digits than its factorization.

113132201000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948740.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113132201000010 its reverse (10000102231311), we get a palindrome (123132303231321).

The spelling of 113132201000010 in words is "one hundred thirteen trillion, one hundred thirty-two billion, two hundred one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 155 186 205 246 271 310 410 465 542 615 813 930 1230 1271 1355 1626 2542 2710 3813 4065 6355 7626 8130 8401 11111 12710 16802 19065 22222 25203 33333 38130 42005 50406 55555 66666 84010 111110 126015 166665 252030 333330 344441 688882 1033323 1722205 2066646 3444410 5166615 10333230 10948387 21896774 32845161 54741935 65690322 109483870 164225805 328451610 339399997 448883867 678799994 897767734 1018199991 1346651601 1696999985 2036399982 2244419335 2693303202 2967012877 3393999970 4488838670 5090999955 5934025754 6733258005 8901038631 10181999910 13466516010 13915399877 14835064385 17802077262 27830799754 29670128770 41746199631 44505193155 69576999385 83492399262 89010386310 91977399187 121647527957 139153998770 183954798374 208730998155 243295055914 275932197561 364942583871 417461996310 459886995935 551864395122 608237639785 729885167742 919773991870 1216475279570 1379660987805 1824712919355 2759321975610 3649425838710 3771073366667 7542146733334 11313220100001 18855366833335 22626440200002 37710733666670 56566100500005 113132201000010