Search a number
-
+
113001322210020 = 223253739194329463
BaseRepresentation
bin11001101100011000101011…
…101010110110001011100100
3112211002211011102210021201200
4121230120223222312023210
5104302403201441210040
61040200031334522500
732542035051416436
oct3154305352661344
9484084142707650
10113001322210020
11330076564a3922
12108104b6206430
134b08c95a1464a
141dc941669a656
15d0e655082630
hex66c62bab62e4

113001322210020 has 144 divisors (see below), whose sum is σ = 352124658762240. Its totient is φ = 29311773896448.

The previous prime is 113001322210001. The next prime is 113001322210031. The reversal of 113001322210020 is 20012223100311.

113001322210020 is a `hidden beast` number, since 1 + 1 + 300 + 1 + 322 + 21 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113001322209975 and 113001322210002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23935809 + ... + 28265271.

Almost surely, 2113001322210020 is an apocalyptic number.

113001322210020 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 113001322210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176062329381120).

113001322210020 is an abundant number, since it is smaller than the sum of its proper divisors (239123336552220).

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

113001322210020 is a wasteful number, since it uses less digits than its factorization.

113001322210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333434 (or 4333429 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113001322210020 its reverse (20012223100311), we get a palindrome (133013545310331).

The spelling of 113001322210020 in words is "one hundred thirteen trillion, one billion, three hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 3919 6660 7838 11757 15676 19595 23514 35271 39190 47028 58785 70542 78380 117570 141084 145003 176355 235140 290006 352710 435009 580012 705420 725015 870018 1305027 1450030 1740036 2175045 2610054 2900060 4329463 4350090 5220108 6525135 8658926 8700180 12988389 13050270 17317852 21647315 25976778 26100540 38965167 43294630 51953556 64941945 77930334 86589260 129883890 155860668 160190131 194825835 259767780 320380262 389651670 480570393 640760524 779303340 800950655 961140786 1441711179 1601901310 1922281572 2402851965 2883422358 3203802620 4805703930 5766844716 7208555895 9611407860 14417111790 16967165497 28834223580 33934330994 50901496491 67868661988 84835827485 101802992982 152704489473 169671654970 203605985964 254507482455 305408978946 339343309940 509014964910 610817957892 627785123389 763522447365 1018029929820 1255570246778 1527044894730 1883355370167 2511140493556 3054089789460 3138925616945 3766710740334 5650066110501 6277851233890 7533421480668 9416776850835 11300132221002 12555702467780 18833553701670 22600264442004 28250330552505 37667107403340 56500661105010 113001322210020