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20213101020 = 22357276717393
BaseRepresentation
bin10010110100110010…
…110111000111011100
31221011200111220220010
4102310302313013130
5312344023213040
613141420523220
71313620344450
oct226462670734
957150456803
1020213101020
11863284aa72
123b013b0510
131ba189b108
14d9a718660
157d4811e80
hex4b4cb71dc

20213101020 has 96 divisors (see below), whose sum is σ = 64709019648. Its totient is φ = 4618202112.

The previous prime is 20213101009. The next prime is 20213101021. The reversal of 20213101020 is 2010131202.

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 = 20213100987 and 20213101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153444 + ... + 1170836.

It is an arithmetic number, because the mean of its divisors is an integer number (674052288).

Almost surely, 220213101020 is an apocalyptic number.

20213101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213101020 is an abundant number, since it is smaller than the sum of its proper divisors (44495918628).

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

20213101020 is a wasteful number, since it uses less digits than its factorization.

20213101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20179 (or 20177 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20213101020 its reverse (2010131202), we get a palindrome (22223232222).

The spelling of 20213101020 in words is "twenty billion, two hundred thirteen million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2767 5534 8301 11068 13835 16602 17393 19369 27670 33204 34786 38738 41505 52179 55340 58107 69572 77476 83010 86965 96845 104358 116214 121751 166020 173930 193690 208716 232428 243502 260895 290535 347860 365253 387380 487004 521790 581070 608755 730506 1043580 1162140 1217510 1461012 1826265 2435020 3652530 7305060 48126431 96252862 144379293 192505724 240632155 288758586 336885017 481264310 577517172 673770034 721896465 962528620 1010655051 1347540068 1443792930 1684425085 2021310102 2887585860 3368850170 4042620204 5053275255 6737700340 10106550510 20213101020