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20100110210000 = 24546133327737
BaseRepresentation
bin1001001000111111010111…
…11011011101001111010000
32122011112220020111002121022
410210133223323131033100
510113310011203210000
6110425510235215012
74143120316535222
oct444375373351720
978145806432538
1020100110210000
11644a455228587
1223076522a7468
13b2a5808a02a2
144d6bc9baa412
1524ccb3ae0585
hex1247ebedd3d0

20100110210000 has 100 divisors (see below), whose sum is σ = 48672460180212. Its totient is φ = 8038708608000.

The previous prime is 20100110209961. The next prime is 20100110210003. The reversal of 20100110210000 is 1201100102.

It can be written as a sum of positive squares in 10 ways, for example, as 15606829500304 + 4493280709696 = 3950548^2 + 2119736^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20100110210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100110210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61166132 + ... + 61493868.

Almost surely, 220100110210000 is an apocalyptic number.

20100110210000 is a gapful number since it is divisible by the number (20) 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 20100110210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24336230090106).

20100110210000 is an abundant number, since it is smaller than the sum of its proper divisors (28572349970212).

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

20100110210000 is an equidigital number, since it uses as much as digits as its factorization.

20100110210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333898 (or 333877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20100110210000 its reverse (1201100102), we get a palindrome (20101311310102).

The spelling of 20100110210000 in words is "twenty trillion, one hundred billion, one hundred ten million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6133 10000 12266 24532 30665 49064 61330 98128 122660 153325 245320 306650 327737 490640 613300 655474 766625 1226600 1310948 1533250 1638685 2453200 2621896 3066500 3277370 3833125 5243792 6133000 6554740 7666250 8193425 12266000 13109480 15332500 16386850 26218960 30665000 32773700 40967125 61330000 65547400 81934250 131094800 163868500 204835625 327737000 409671250 655474000 819342500 1638685000 2010011021 3277370000 4020022042 8040044084 10050055105 16080088168 20100110210 32160176336 40200220420 50250275525 80400440840 100500551050 160800881680 201001102100 251251377625 402002204200 502502755250 804004408400 1005005510500 1256256888125 2010011021000 2512513776250 4020022042000 5025027552500 10050055105000 20100110210000