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201023130 = 235711175119
BaseRepresentation
bin10111111101101…
…01111010011010
3112000021000220010
423332311322122
5402430220010
631540342350
74660445160
oct1376657232
9460230803
10201023130
11a3521720
12573a49b6
1332854bc9
141c9ab230
15129ac620
hexbfb5e9a

201023130 has 128 divisors (see below), whose sum is σ = 637009920. Its totient is φ = 39306240.

The previous prime is 201023111. The next prime is 201023131. The reversal of 201023130 is 31320102.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201023131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 36711 + ... + 41829.

It is an arithmetic number, because the mean of its divisors is an integer number (4976640).

Almost surely, 2201023130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318504960).

201023130 is an abundant number, since it is smaller than the sum of its proper divisors (435986790).

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

201023130 is a wasteful number, since it uses less digits than its factorization.

201023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 201023130 is about 14178.2625874964. The cubic root of 201023130 is about 585.7990687445.

Adding to 201023130 its reverse (31320102), we get a palindrome (232343232).

It can be divided in two parts, 20102 and 3130, that added together give a palindrome (23232).

The spelling of 201023130 in words is "two hundred one million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 17 21 22 30 33 34 35 42 51 55 66 70 77 85 102 105 110 119 154 165 170 187 210 231 238 255 330 357 374 385 462 510 561 595 714 770 935 1122 1155 1190 1309 1785 1870 2310 2618 2805 3570 3927 5119 5610 6545 7854 10238 13090 15357 19635 25595 30714 35833 39270 51190 56309 71666 76785 87023 107499 112618 153570 168927 174046 179165 214998 261069 281545 337854 358330 394163 435115 522138 537495 563090 609161 788326 844635 870230 957253 1074990 1182489 1218322 1305345 1689270 1827483 1914506 1970815 2364978 2610690 2871759 3045805 3654966 3941630 4786265 5743518 5912445 6091610 6700771 9137415 9572530 11824890 13401542 14358795 18274830 20102313 28717590 33503855 40204626 67007710 100511565 201023130