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212000001220 = 225713122675099
BaseRepresentation
bin1100010101110000101…
…1110100110011000100
3202021012122101220112001
43011130023310303010
511433134000014340
6241220315435044
721213362164210
oct3053413646304
9667178356461
10212000001220
11819aa523787
1235106455a84
1316cb7484407
14a391add940
1557abbe529a
hex315c2f4cc4

212000001220 has 96 divisors (see below), whose sum is σ = 513010713600. Its totient is φ = 72084904320.

The previous prime is 212000001197. The next prime is 212000001221. The reversal of 212000001220 is 22100000212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 212000001197 and 212000001206.

It is not an unprimeable number, because it can be changed into a prime (212000001221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41574231 + ... + 41579329.

It is an arithmetic number, because the mean of its divisors is an integer number (5343861600).

Almost surely, 2212000001220 is an apocalyptic number.

212000001220 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 212000001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256505356800).

212000001220 is an abundant number, since it is smaller than the sum of its proper divisors (301010712380).

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

212000001220 is a wasteful number, since it uses less digits than its factorization.

212000001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212000001220 its reverse (22100000212), we get a palindrome (234100001432).

The spelling of 212000001220 in words is "two hundred twelve billion, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 655 917 1310 1834 2267 2620 3668 4534 4585 5099 9068 9170 10198 11335 15869 18340 20396 22670 25495 31738 35693 45340 50990 63476 71386 79345 101980 142772 158690 178465 296977 317380 356930 593954 667969 713860 1187908 1335938 1484885 2078839 2671876 2969770 3339845 4157678 4675783 5939540 6679690 8315356 9351566 10394195 11559433 13359380 18703132 20788390 23118866 23378915 41576780 46237732 46757830 57797165 80916031 93515660 115594330 161832062 231188660 323664124 404580155 809160310 1514285723 1618320620 3028571446 6057142892 7571428615 10600000061 15142857230 21200000122 30285714460 42400000244 53000000305 106000000610 212000001220