Search a number
-
+
101011300112030 = 25711337138915309
BaseRepresentation
bin10110111101111010000110…
…101010010101011010011110
3111020122120211011220010022112
4112331322012222111122132
5101214432120312041110
6554455541201514022
730163553116231310
oct2675720652253236
9436576734803275
10101011300112030
112a204719610530
12b3b4800042912
13444942b575bb9
141ad2d89d2b7b0
15ba2808107405
hex5bde86a9569e

101011300112030 has 64 divisors (see below), whose sum is σ = 226752350952960. Its totient is φ = 31474701110400.

The previous prime is 101011300112027. The next prime is 101011300112069. The reversal of 101011300112030 is 30211003110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101011300111996 and 101011300112014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16861985 + ... + 22053324.

It is an arithmetic number, because the mean of its divisors is an integer number (3543005483640).

Almost surely, 2101011300112030 is an apocalyptic number.

101011300112030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011300112030 is an abundant number, since it is smaller than the sum of its proper divisors (125741050840930).

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

101011300112030 is a wasteful number, since it uses less digits than its factorization.

101011300112030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38918705.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101011300112030 its reverse (30211003110101), we get a palindrome (131222303222131).

The spelling of 101011300112030 in words is "one hundred one trillion, eleven billion, three hundred million, one hundred twelve thousand, thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 3371 6742 16855 23597 33710 37081 47194 74162 117985 185405 235970 259567 370810 519134 1297835 2595670 38915309 77830618 194576545 272407163 389153090 428068399 544814326 856136798 1362035815 2140341995 2724071630 2996478793 4280683990 5992957586 14982393965 29964787930 131183506639 262367013278 655917533195 918284546473 1311835066390 1443018573029 1836569092946 2886037146058 4591422732365 7215092865145 9182845464730 10101130011203 14430185730290 20202260022406 50505650056015 101011300112030