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20332313310 = 23517714871153
BaseRepresentation
bin10010111011111001…
…100111101011011110
31221110222211112102010
4102323321213223132
5313120033011220
613201320012050
71316565545241
oct227371475336
957428745363
1020332313310
118694073a21
123b35301026
131bc04aa62a
14dac4ab258
157e000e1e0
hex4bbe67ade

20332313310 has 128 divisors (see below), whose sum is σ = 52548839424. Its totient is φ = 5016453120.

The previous prime is 20332313299. The next prime is 20332313341. The reversal of 20332313310 is 1331323302.

It is a super-2 number, since 2×203323133102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17633694 + ... + 17634846.

It is an arithmetic number, because the mean of its divisors is an integer number (410537808).

Almost surely, 220332313310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332313310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26274419712).

20332313310 is an abundant number, since it is smaller than the sum of its proper divisors (32216526114).

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

20332313310 is a wasteful number, since it uses less digits than its factorization.

20332313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 20332313310 its reverse (1331323302), we get a palindrome (21663636612).

The spelling of 20332313310 in words is "twenty billion, three hundred thirty-two million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 142 170 213 255 355 426 487 510 710 974 1065 1153 1207 1461 2130 2306 2414 2435 2922 3459 3621 4870 5765 6035 6918 7242 7305 8279 11530 12070 14610 16558 17295 18105 19601 24837 34577 34590 36210 39202 41395 49674 58803 69154 81863 82790 98005 103731 117606 124185 163726 172885 196010 207462 245589 248370 294015 345770 409315 491178 518655 561511 587809 588030 818630 1037310 1123022 1175618 1227945 1391671 1684533 1763427 2455890 2783342 2807555 2939045 3369066 3526854 4175013 5615110 5878090 6958355 8350026 8422665 8817135 9545687 13916710 16845330 17634270 19091374 20875065 28637061 39867281 41750130 47728435 57274122 79734562 95456870 119601843 143185305 199336405 239203686 286370610 398672810 598009215 677743777 1196018430 1355487554 2033231331 3388718885 4066462662 6777437770 10166156655 20332313310