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20312033202 = 2352910713469
BaseRepresentation
bin10010111010101100…
…010000011110110010
31221102120200012100000
4102322230100132302
5313044340030302
613155313210430
71316231301456
oct227254203662
957376605300
1020312033202
1186836821aa
123b2a560a16
131bb9229876
14da990c666
157dd35531c
hex4bab107b2

20312033202 has 96 divisors (see below), whose sum is σ = 47657937600. Its totient is φ = 6475629888.

The previous prime is 20312033167. The next prime is 20312033207. The reversal of 20312033202 is 20233021302.

It is a happy number.

20312033202 is a `hidden beast` number, since 20 + 312 + 0 + 332 + 0 + 2 = 666.

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 (20312033207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1501324 + ... + 1514792.

It is an arithmetic number, because the mean of its divisors is an integer number (496436850).

Almost surely, 220312033202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312033202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23828968800).

20312033202 is an abundant number, since it is smaller than the sum of its proper divisors (27345904398).

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

20312033202 is a wasteful number, since it uses less digits than its factorization.

20312033202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13622 (or 13610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20312033202 its reverse (20233021302), we get a palindrome (40545054504).

The spelling of 20312033202 in words is "twenty billion, three hundred twelve million, thirty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 107 162 174 214 243 261 321 486 522 642 783 963 1566 1926 2349 2889 3103 4698 5778 6206 7047 8667 9309 13469 14094 17334 18618 26001 26938 27927 40407 52002 55854 80814 83781 121221 167562 242442 251343 363663 390601 502686 727326 754029 781202 1090989 1171803 1441183 1508058 2181978 2343606 2882366 3272967 3515409 4323549 6545934 7030818 8647098 10546227 12970647 21092454 25941294 31638681 38911941 41794307 63277362 77823882 83588614 94916043 116735823 125382921 189832086 233471646 250765842 350207469 376148763 700414938 752297526 1128446289 2256892578 3385338867 6770677734 10156016601 20312033202