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1210212320 = 25517607733
BaseRepresentation
bin100100000100010…
…0101111111100000
310010100020011012112
41020020211333200
54434303243240
6320031014452
741663430542
oct11010457740
93110204175
101210212320
11571151479
1229936a428
1316395b885
14b6a2b692
15713a6665
hex48225fe0

1210212320 has 96 divisors (see below), whose sum is σ = 3036434688. Its totient is φ = 454238208.

The previous prime is 1210212221. The next prime is 1210212329. The reversal of 1210212320 is 232120121.

It is a happy number.

It is a super-2 number, since 2×12102123202 = 2929227718959564800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1210212295 and 1210212304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210212329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650674 + ... + 1651406.

It is an arithmetic number, because the mean of its divisors is an integer number (31629528).

Almost surely, 21210212320 is an apocalyptic number.

1210212320 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 1210212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518217344).

1210212320 is an abundant number, since it is smaller than the sum of its proper divisors (1826222368).

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

1210212320 is a wasteful number, since it uses less digits than its factorization.

1210212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1210212320 is about 34788.1060134064. The cubic root of 1210212320 is about 1065.6645605779.

Adding to 1210212320 its reverse (232120121), we get a palindrome (1442332441).

The spelling of 1210212320 in words is "one billion, two hundred ten million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 607 680 733 1214 1360 1466 2428 2720 2932 3035 3665 4856 5864 6070 7330 9712 10319 11728 12140 12461 14660 19424 20638 23456 24280 24922 29320 41276 48560 49844 51595 58640 62305 82552 97120 99688 103190 117280 124610 165104 199376 206380 249220 330208 398752 412760 444931 498440 825520 889862 996880 1651040 1779724 1993760 2224655 3559448 4449310 7118896 7563827 8898620 14237792 15127654 17797240 30255308 35594480 37819135 60510616 71188960 75638270 121021232 151276540 242042464 302553080 605106160 1210212320