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101020110220 = 22573324172851
BaseRepresentation
bin101111000010101000…
…1001000110110001100
3100122202021011022101201
41132011101020312030
53123342122011340
6114224043315244
710204241524531
oct1360521106614
9318667138351
10101020110220
113992a244aa7
12176b351bb24
1396abc6b263
144c64724d88
152963a8e79a
hex1785448d8c

101020110220 has 48 divisors (see below), whose sum is σ = 212594080608. Its totient is φ = 40322073600.

The previous prime is 101020110203. The next prime is 101020110221. The reversal of 101020110220 is 22011020101.

101020110220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1010201102203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101020110197 and 101020110206.

It is not an unprimeable number, because it can be changed into a prime (101020110221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35431795 + ... + 35434645.

It is an arithmetic number, because the mean of its divisors is an integer number (4429043346).

Almost surely, 2101020110220 is an apocalyptic number.

101020110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020110220 is an abundant number, since it is smaller than the sum of its proper divisors (111573970388).

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

101020110220 is a wasteful number, since it uses less digits than its factorization.

101020110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 6008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020110220 its reverse (22011020101), we get a palindrome (123031130321).

The spelling of 101020110220 in words is "one hundred one billion, twenty million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 733 1466 2417 2851 2932 3665 4834 5702 7330 9668 11404 12085 14255 14660 24170 28510 48340 57020 1771661 2089783 3543322 4179566 6890867 7086644 8359132 8858305 10448915 13781734 17716610 20897830 27563468 34454335 35433220 41795660 68908670 137817340 5051005511 10102011022 20204022044 25255027555 50510055110 101020110220