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10202221020 = 22351073314801
BaseRepresentation
bin10011000000001100…
…11000100111011100
3222100000021112012210
421200012120213130
5131343232033040
64404205000420
7510551306415
oct114006304734
928300245183
1010202221020
114365984722
121b88853110
13c67871694
146cad6280c
153eaa05480
hex2601989dc

10202221020 has 96 divisors (see below), whose sum is σ = 28926326016. Its totient is φ = 2686464000.

The previous prime is 10202221013. The next prime is 10202221063. The reversal of 10202221020 is 2012220201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10202220987 and 10202221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2122620 + ... + 2127420.

It is an arithmetic number, because the mean of its divisors is an integer number (301315896).

Almost surely, 210202221020 is an apocalyptic number.

10202221020 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 10202221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463163008).

10202221020 is an abundant number, since it is smaller than the sum of its proper divisors (18724104996).

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

10202221020 is a wasteful number, since it uses less digits than its factorization.

10202221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10202221020 its reverse (2012220201), we get a palindrome (12214441221).

The spelling of 10202221020 in words is "ten billion, two hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 331 428 535 642 662 993 1070 1284 1324 1605 1655 1986 2140 3210 3310 3972 4801 4965 6420 6620 9602 9930 14403 19204 19860 24005 28806 35417 48010 57612 70834 72015 96020 106251 141668 144030 177085 212502 288060 354170 425004 513707 531255 708340 1027414 1062510 1541121 1589131 2054828 2125020 2568535 3082242 3178262 4767393 5137070 6164484 6356524 7705605 7945655 9534786 10274140 15411210 15891310 19069572 23836965 30822420 31782620 47673930 95347860 170037017 340074034 510111051 680148068 850185085 1020222102 1700370170 2040444204 2550555255 3400740340 5101110510 10202221020