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201130122330 = 234516711811259
BaseRepresentation
bin1011101101010001001…
…0100001110001011010
3201020011002210211220000
42323110102201301122
511243403302403310
6232221540313430
720350122555204
oct2732422416132
9636132724800
10201130122330
117833178a8a5
1232b920a2876
1315c744b8707
149a40221774
1553727aa4c0
hex2ed44a1c5a

201130122330 has 160 divisors (see below), whose sum is σ = 544948145280. Its totient is φ = 53226080640.

The previous prime is 201130122329. The next prime is 201130122337. The reversal of 201130122330 is 33221031102.

201130122330 is a `hidden beast` number, since 2 + 0 + 11 + 301 + 22 + 330 = 666.

It is a super-2 number, since 2×2011301223302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201130122337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159753241 + ... + 159754499.

It is an arithmetic number, because the mean of its divisors is an integer number (3405925908).

Almost surely, 2201130122330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201130122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272474072640).

201130122330 is an abundant number, since it is smaller than the sum of its proper divisors (343818022950).

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

201130122330 is a wasteful number, since it uses less digits than its factorization.

201130122330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201130122330 its reverse (33221031102), we get a palindrome (234351153432).

The spelling of 201130122330 in words is "two hundred one billion, one hundred thirty million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 167 270 334 405 501 810 835 1002 1181 1259 1503 1670 2362 2505 2518 3006 3543 3777 4509 5010 5905 6295 7086 7515 7554 9018 10629 11331 11810 12590 13527 15030 17715 18885 21258 22545 22662 27054 31887 33993 35430 37770 45090 53145 56655 63774 67635 67986 95661 101979 106290 113310 135270 159435 169965 191322 197227 203958 210253 318870 339930 394454 420506 478305 509895 591681 630759 956610 986135 1019790 1051265 1183362 1261518 1486879 1775043 1892277 1972270 2102530 2958405 2973758 3153795 3550086 3784554 4460637 5325129 5676831 5916810 6307590 7434395 8875215 8921274 9461385 10650258 11353662 13381911 14868790 15975387 17030493 17750430 18922770 22303185 26625645 26763822 28384155 31950774 34060986 40145733 44606370 53251290 56768310 66909555 79876935 80291466 85152465 120437199 133819110 159753870 170304930 200728665 240874398 248308793 401457330 496617586 602185995 744926379 1204371990 1241543965 1489852758 2234779137 2483087930 3724631895 4469558274 6704337411 7449263790 11173895685 13408674822 20113012233 22347791370 33521687055 40226024466 67043374110 100565061165 201130122330