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100420201100 = 225223283154279
BaseRepresentation
bin101110110000110000…
…0101010101010001100
3100121012110022202210102
41131201200222222030
53121130032413400
6114044333230232
710153335424412
oct1354140525214
9317173282712
10100420201100
113965164943a
1217566632378
1396148a4b4b
144c08ba32b2
15292b08d9d5
hex176182aa8c

100420201100 has 72 divisors (see below), whose sum is σ = 228191228160. Its totient is φ = 38285628480.

The previous prime is 100420201097. The next prime is 100420201109. The reversal of 100420201100 is 1102024001.

100420201100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100420201109) 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, 573761 + ... + 728039.

Almost surely, 2100420201100 is an apocalyptic number.

100420201100 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 100420201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114095614080).

100420201100 is an abundant number, since it is smaller than the sum of its proper divisors (127771027060).

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

100420201100 is a wasteful number, since it uses less digits than its factorization.

100420201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154599 (or 154592 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100420201100 its reverse (1102024001), we get a palindrome (101522225101).

The spelling of 100420201100 in words is "one hundred billion, four hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 283 460 566 575 1132 1150 1415 2300 2830 5660 6509 7075 13018 14150 26036 28300 32545 65090 130180 154279 162725 308558 325450 617116 650900 771395 1542790 3085580 3548417 3856975 7096834 7713950 14193668 15427900 17742085 35484170 43660957 70968340 87321914 88710425 174643828 177420850 218304785 354841700 436609570 873219140 1004202011 1091523925 2008404022 2183047850 4016808044 4366095700 5021010055 10042020110 20084040220 25105050275 50210100550 100420201100