Search a number
-
+
13113111353200 = 2452711190338791
BaseRepresentation
bin1011111011010010001001…
…0110000001011101110000
31201102121020021110121212021
42332310202112001131300
53204321123001300300
643520025153241224
72522251060263415
oct276644226013560
951377207417767
1013113111353200
1141a626a556591
1215794aa563214
1374173a956b01
1433496c51a10c
1517b17e9bbd1a
hexbed22581770

13113111353200 has 120 divisors (see below), whose sum is σ = 31951479545856. Its totient is φ = 5170800096000.

The previous prime is 13113111353159. The next prime is 13113111353207. The reversal of 13113111353200 is 235311131131.

It is a super-2 number, since 2×131131113532002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113111353207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338025805 + ... + 338064595.

Almost surely, 213113111353200 is an apocalyptic number.

13113111353200 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 13113111353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975739772928).

13113111353200 is an abundant number, since it is smaller than the sum of its proper divisors (18838368192656).

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

13113111353200 is a wasteful number, since it uses less digits than its factorization.

13113111353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50783 (or 50772 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

Adding to 13113111353200 its reverse (235311131131), we get a palindrome (13348422484331).

The spelling of 13113111353200 in words is "thirteen trillion, one hundred thirteen billion, one hundred eleven million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1136 1420 1775 2840 3550 5680 7100 11903 14200 23806 28400 38791 47612 59515 77582 95224 119030 155164 190448 193955 238060 297575 310328 387910 476120 595150 620656 775820 845113 952240 969775 1190300 1551640 1690226 1939550 2380600 2754161 3103280 3380452 3879100 4225565 4761200 5508322 6760904 7758200 8451130 11016644 13521808 13770805 15516400 16902260 21127825 22033288 27541610 33804520 42255650 44066576 55083220 67609040 68854025 84511300 110166440 137708050 169022600 220332880 275416100 338045200 461729273 550832200 923458546 1101664400 1846917092 2308646365 3693834184 4617292730 7387668368 9234585460 11543231825 18469170920 23086463650 32782778383 36938341840 46172927300 65565556766 92345854600 131131113532 163913891915 184691709200 262262227064 327827783830 524524454128 655655567660 819569459575 1311311135320 1639138919150 2622622270640 3278277838300 6556555676600 13113111353200