Search a number
-
+
20011322310 = 2357197170639
BaseRepresentation
bin10010101000110001…
…001000101111000110
31220122121211111112120
4102220301020233012
5311440344303220
613105412030410
71305620301360
oct225061105706
956577744476
1020011322310
118539962701
123a65902406
131b6bb40325
14d7b9d1d30
157c1c55a40
hex4a8c48bc6

20011322310 has 128 divisors (see below), whose sum is σ = 58591641600. Its totient is φ = 4272186240.

The previous prime is 20011322297. The next prime is 20011322341. The reversal of 20011322310 is 1322311002.

It is a super-2 number, since 2×200113223102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20011322310.

It is a congruent number.

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, 247971 + ... + 318609.

It is an arithmetic number, because the mean of its divisors is an integer number (457747200).

Almost surely, 220011322310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011322310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29295820800).

20011322310 is an abundant number, since it is smaller than the sum of its proper divisors (38580319290).

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

20011322310 is a wasteful number, since it uses less digits than its factorization.

20011322310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70746.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20011322310 its reverse (1322311002), we get a palindrome (21333633312).

The spelling of 20011322310 in words is "twenty billion, eleven million, three hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 71 95 105 114 133 142 190 210 213 266 285 355 399 426 497 570 665 710 798 994 1065 1330 1349 1491 1995 2130 2485 2698 2982 3990 4047 4970 6745 7455 8094 9443 13490 14910 18886 20235 28329 40470 47215 56658 70639 94430 141278 141645 211917 283290 353195 423834 494473 706390 988946 1059585 1342141 1483419 2119170 2472365 2684282 2966838 4026423 4944730 5015369 6710705 7417095 8052846 9394987 10030738 13421410 14834190 15046107 18789974 20132115 25076845 28184961 30092214 35107583 40264230 46974935 50153690 56369922 70215166 75230535 93949870 95292011 105322749 140924805 150461070 175537915 190584022 210645498 281849610 285876033 351075830 476460055 526613745 571752066 667044077 952920110 1053227490 1334088154 1429380165 2001132231 2858760330 3335220385 4002264462 6670440770 10005661155 20011322310