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213210201210 = 23541271639637
BaseRepresentation
bin1100011010010001010…
…0010111110001111010
3202101022222121102210220
43012210110113301322
511443123302414320
6241540350320510
721255355544106
oct3064424276172
9671288542726
10213210201210
1182470666966
12353a37b9136
131714b10a496
14a468726906
15582d097e40
hex31a4517c7a

213210201210 has 64 divisors (see below), whose sum is σ = 526120164864. Its totient is φ = 55264550400.

The previous prime is 213210201143. The next prime is 213210201233. The reversal of 213210201210 is 12102012312.

213210201210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 213210201210.

It is an unprimeable number.

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, 13512 + ... + 653148.

It is an arithmetic number, because the mean of its divisors is an integer number (8220627576).

Almost surely, 2213210201210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213210201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263060082432).

213210201210 is an abundant number, since it is smaller than the sum of its proper divisors (312909963654).

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

213210201210 is a wasteful number, since it uses less digits than its factorization.

213210201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639959.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213210201210 its reverse (12102012312), we get a palindrome (225312213522).

The spelling of 213210201210 in words is "two hundred thirteen billion, two hundred ten million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 55555 66666 111110 166665 333330 639637 1279274 1918911 3198185 3837822 6396370 9594555 19189110 26225117 52450234 78675351 131125585 157350702 173341627 262251170 346683254 393376755 520024881 786753510 866708135 1040049762 1733416270 2600124405 5200248810 7107006707 14214013414 21321020121 35535033535 42642040242 71070067070 106605100605 213210201210