Search a number
-
+
20302011312 = 24311237322901
BaseRepresentation
bin10010111010000110…
…000001101110110000
31221101212211000212220
4102322012001232300
5313034303330222
613154314321040
71316050151232
oct227206015660
957355730786
1020302011312
118678a57650
123b27129180
131bb712b05b
14da8460252
157dc525b5c
hex4ba181bb0

20302011312 has 160 divisors (see below), whose sum is σ = 60522840576. Its totient is φ = 5803776000.

The previous prime is 20302011283. The next prime is 20302011319. The reversal of 20302011312 is 21311020302.

It is a super-2 number, since 2×203020113122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20302011291 and 20302011300.

It is not an unprimeable number, because it can be changed into a prime (20302011319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875062 + ... + 897962.

Almost surely, 220302011312 is an apocalyptic number.

20302011312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30261420288).

20302011312 is an abundant number, since it is smaller than the sum of its proper divisors (40220829264).

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

20302011312 is a wasteful number, since it uses less digits than its factorization.

20302011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23019 (or 23013 counting only the distinct ones).

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

Adding to 20302011312 its reverse (21311020302), we get a palindrome (41613031614).

The spelling of 20302011312 in words is "twenty billion, three hundred two million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 73 88 92 132 138 146 176 184 219 253 264 276 292 368 438 506 528 552 584 759 803 876 1012 1104 1168 1518 1606 1679 1752 2024 2409 3036 3212 3358 3504 4048 4818 5037 6072 6424 6716 9636 10074 12144 12848 13432 18469 19272 20148 22901 26864 36938 38544 40296 45802 55407 68703 73876 80592 91604 110814 137406 147752 183208 221628 251911 274812 295504 366416 443256 503822 526723 549624 755733 886512 1007644 1053446 1099248 1511466 1580169 1671773 2015288 2106892 3022932 3160338 3343546 4030576 4213784 5015319 5793953 6045864 6320676 6687092 8427568 10030638 11587906 12091728 12641352 13374184 17381859 18389503 20061276 23175812 25282704 26748368 34763718 36779006 38450779 40122552 46351624 55168509 69527436 73558012 76901558 80245104 92703248 110337018 115352337 139054872 147116024 153803116 220674036 230704674 278109744 294232048 307606232 422958569 441348072 461409348 615212464 845917138 882696144 922818696 1268875707 1691834276 1845637392 2537751414 3383668552 5075502828 6767337104 10151005656 20302011312