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210102122220 = 22357197508451
BaseRepresentation
bin1100001110101100001…
…1111111011011101100
3202002022101012122222020
43003223003333123230
511420242120402340
6240304121350140
721115345400244
oct3035303773354
9662271178866
10210102122220
1181116197141
1234876938350
1316a742140a3
14a251a28b24
1556ea2a59d0
hex30eb0ff6ec

210102122220 has 96 divisors (see below), whose sum is σ = 602723068416. Its totient is φ = 54668544000.

The previous prime is 210102122207. The next prime is 210102122249. The reversal of 210102122220 is 22221201012.

It is a super-2 number, since 2×2101021222202 (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 210102122220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158995 + ... + 667445.

It is an arithmetic number, because the mean of its divisors is an integer number (6278365296).

Almost surely, 2210102122220 is an apocalyptic number.

210102122220 is a gapful number since it is divisible by the number (20) 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 210102122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301361534208).

210102122220 is an abundant number, since it is smaller than the sum of its proper divisors (392620946196).

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

210102122220 is a wasteful number, since it uses less digits than its factorization.

210102122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508631 (or 508629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210102122220 its reverse (22221201012), we get a palindrome (232323323232).

The spelling of 210102122220 in words is "two hundred ten billion, one hundred two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 97 142 194 213 284 291 355 388 426 485 582 710 852 970 1065 1164 1420 1455 1940 2130 2910 4260 5820 6887 13774 20661 27548 34435 41322 68870 82644 103305 137740 206610 413220 508451 1016902 1525353 2033804 2542255 3050706 5084510 6101412 7626765 10169020 15253530 30507060 36100021 49319747 72200042 98639494 108300063 144400084 147959241 180500105 197278988 216600126 246598735 295918482 361000210 433200252 493197470 541500315 591836964 722000420 739796205 986394940 1083000630 1479592410 2166001260 2959184820 3501702037 7003404074 10505106111 14006808148 17508510185 21010212222 35017020370 42020424444 52525530555 70034040740 105051061110 210102122220