Search a number
-
+
10010100101220 = 2232559979717223
BaseRepresentation
bin1001000110101010100001…
…1101011111000001100100
31022102221211002100120000100
42101222220131133001210
52303001141111214340
633142324305144100
72052130416652452
oct221525035370144
938387732316010
1010010100101220
11320a2945a960a
12115803632b030
13577c437c358b
142686c46ab9d2
151255bb9c5830
hex91aa875f064

10010100101220 has 144 divisors (see below), whose sum is σ = 31196953307520. Its totient is φ = 2597063620608.

The previous prime is 10010100101207. The next prime is 10010100101227. The reversal of 10010100101220 is 2210100101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10010100101227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3828472 + ... + 5888751.

It is an arithmetic number, because the mean of its divisors is an integer number (216645509080).

Almost surely, 210010100101220 is an apocalyptic number.

10010100101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010100101220 is an abundant number, since it is smaller than the sum of its proper divisors (21186853206300).

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

10010100101220 is a wasteful number, since it uses less digits than its factorization.

10010100101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717394 (or 9717389 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010100101220 its reverse (2210100101001), we get a palindrome (12220200202221).

The spelling of 10010100101220 in words is "ten trillion, ten billion, one hundred million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 97 118 177 180 194 236 291 295 354 388 485 531 582 590 708 873 885 970 1062 1164 1180 1455 1746 1770 1940 2124 2655 2910 3492 3540 4365 5310 5723 5820 8730 10620 11446 17169 17460 22892 28615 34338 51507 57230 68676 85845 103014 114460 171690 206028 257535 343380 515070 1030140 9717223 19434446 29151669 38868892 48586115 58303338 87455007 97172230 116606676 145758345 174910014 194344460 291516690 349820028 437275035 573316157 583033380 874550070 942570631 1146632314 1719948471 1749100140 1885141262 2293264628 2827711893 2866580785 3439896942 3770282524 4712853155 5159845413 5655423786 5733161570 6879793884 8483135679 8599742355 9425706310 10319690826 11310847572 11466323140 14138559465 16966271358 17199484710 18851412620 20639381652 25799227065 28277118930 33932542716 34398969420 42415678395 51598454130 55611667229 56554237860 84831356790 103196908260 111223334458 166835001687 169662713580 222446668916 278058336145 333670003374 500505005061 556116672290 667340006748 834175008435 1001010010122 1112233344580 1668350016870 2002020020244 2502525025305 3336700033740 5005050050610 10010100101220