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213122232330 = 235713922931883
BaseRepresentation
bin1100011001111100010…
…0110011000000001010
3202101002212002011012020
43012133010303000022
511442433242413310
6241523525025310
721253240041060
oct3063704630012
9671085064166
10213122232330
1182425a42607
123537a255236
1317135b19ba7
14a45ab88030
1558254bd170
hex319f13300a

213122232330 has 128 divisors (see below), whose sum is σ = 591358924800. Its totient is φ = 48150491904.

The previous prime is 213122232329. The next prime is 213122232341. The reversal of 213122232330 is 33232221312.

It is a self number, because there is not a number n which added to its sum of digits gives 213122232330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6668569 + ... + 6700451.

It is an arithmetic number, because the mean of its divisors is an integer number (4619991600).

Almost surely, 2213122232330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213122232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295679462400).

213122232330 is an abundant number, since it is smaller than the sum of its proper divisors (378236692470).

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

213122232330 is a wasteful number, since it uses less digits than its factorization.

213122232330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32268.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213122232330 its reverse (33232221312), we get a palindrome (246354453642).

The spelling of 213122232330 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 139 210 229 278 417 458 687 695 834 973 1145 1374 1390 1603 1946 2085 2290 2919 3206 3435 4170 4809 4865 5838 6870 8015 9618 9730 14595 16030 24045 29190 31831 31883 48090 63662 63766 95493 95649 159155 159415 190986 191298 222817 223181 318310 318830 445634 446362 477465 478245 668451 669543 954930 956490 1114085 1115905 1336902 1339086 2228170 2231810 3342255 3347715 4431737 6684510 6695430 7301207 8863474 13295211 14602414 21903621 22158685 26590422 31022159 36506035 43807242 44317370 51108449 62044318 66476055 73012070 93066477 102216898 109518105 132952110 153325347 155110795 186132954 219036210 255542245 306650694 310221590 465332385 511084490 766626735 930664770 1014867773 1533253470 2029735546 3044603319 5074338865 6089206638 7104074411 10148677730 14208148822 15223016595 21312223233 30446033190 35520372055 42624446466 71040744110 106561116165 213122232330