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10212222020 = 22571113510101
BaseRepresentation
bin10011000001011001…
…00010010001000100
3222100201002122000012
421200230202101010
5131403312101040
64405203205352
7511032312020
oct114054422104
928321078005
1010212222020
114370595610
121b90076858
13c69963830
146cc407380
153eb82d865
hex260b22444

10212222020 has 96 divisors (see below), whose sum is σ = 28794237696. Its totient is φ = 2938176000.

The previous prime is 10212222017. The next prime is 10212222029. The reversal of 10212222020 is 2022221201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10212221986 and 10212222004.

It is not an unprimeable number, because it can be changed into a prime (10212222029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235031 + ... + 275070.

It is an arithmetic number, because the mean of its divisors is an integer number (299939976).

Almost surely, 210212222020 is an apocalyptic number.

10212222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212222020 is an abundant number, since it is smaller than the sum of its proper divisors (18582015676).

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

10212222020 is a wasteful number, since it uses less digits than its factorization.

10212222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510141 (or 510139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10212222020 its reverse (2022221201), we get a palindrome (12234443221).

It can be divided in two parts, 10212 and 222020, that added together give a palindrome (232232).

The spelling of 10212222020 in words is "ten billion, two hundred twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 510101 1020202 2040404 2550505 3570707 5101010 5611111 6631313 7141414 10202020 11222222 13262626 14282828 17853535 22444444 26525252 28055555 33156565 35707070 39277777 46419191 56111110 66313130 71414140 72944443 78555554 92838382 112222220 132626260 145888886 157111108 185676764 196388885 232095955 291777772 364722215 392777770 464191910 510611101 729444430 785555540 928383820 1021222202 1458888860 2042444404 2553055505 5106111010 10212222020