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101020232220 = 22356725129411
BaseRepresentation
bin101111000010101000…
…1100110101000011100
3100122202021101111202020
41132011101212220130
53123342134412340
6114224050100140
710204242543315
oct1360521465034
9318667344666
10101020232220
113992a318726
12176b357a650
1396abcb194b
144c6475760c
152963ab59d0
hex1785466a1c

101020232220 has 48 divisors (see below), whose sum is σ = 287078402688. Its totient is φ = 26536656960.

The previous prime is 101020232197. The next prime is 101020232227. The reversal of 101020232220 is 22232020101.

It is a happy number.

101020232220 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-2 number, since 2×1010202322202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101020232220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020232227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12560686 + ... + 12568725.

It is an arithmetic number, because the mean of its divisors is an integer number (5980800056).

Almost surely, 2101020232220 is an apocalyptic number.

101020232220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020232220 is an abundant number, since it is smaller than the sum of its proper divisors (186058170468).

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

101020232220 is a wasteful number, since it uses less digits than its factorization.

101020232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25129490 (or 25129488 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 101020232220 its reverse (22232020101), we get a palindrome (123252252321).

The spelling of 101020232220 in words is "one hundred one billion, twenty million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 25129411 50258822 75388233 100517644 125647055 150776466 251294110 301552932 376941165 502588220 753882330 1507764660 1683670537 3367341074 5051011611 6734682148 8418352685 10102023222 16836705370 20204046444 25255058055 33673410740 50510116110 101020232220