Search a number
-
+
10362312220 = 22513131307991
BaseRepresentation
bin10011010011010010…
…00101011000011100
3222202011112000001111
421221221011120130
5132210222442340
64432124151404
7514534125541
oct115151053034
928664460044
1010362312220
1144382895a7
122012398564
13c91a947c0
14704316bc8
15409ac9aea
hex269a4561c

10362312220 has 96 divisors (see below), whose sum is σ = 23714482176. Its totient is φ = 3780691200.

The previous prime is 10362312193. The next prime is 10362312227. The reversal of 10362312220 is 2221326301.

It is a super-3 number, since 3×103623122203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10362312191 and 10362312200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10362312227) 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, 10455925 + ... + 10456915.

It is an arithmetic number, because the mean of its divisors is an integer number (247025856).

Almost surely, 210362312220 is an apocalyptic number.

10362312220 is a gapful number since it is divisible by the number (10) 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 10362312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857241088).

10362312220 is an abundant number, since it is smaller than the sum of its proper divisors (13352169956).

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

10362312220 is a wasteful number, since it uses less digits than its factorization.

10362312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10362312220 its reverse (2221326301), we get a palindrome (12583638521).

The spelling of 10362312220 in words is "ten billion, three hundred sixty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 260 262 307 524 614 655 991 1228 1310 1535 1703 1982 2620 3070 3406 3964 3991 4955 6140 6812 7982 8515 9910 12883 15964 17030 19820 19955 25766 34060 39910 40217 51532 64415 79820 80434 128830 129821 160868 201085 257660 259642 304237 402170 519284 522821 608474 649105 804340 1045642 1216948 1298210 1521185 1687673 2091284 2596420 2614105 3042370 3375346 3955081 5228210 6084740 6750692 7910162 8438365 10456420 15820324 16876730 19775405 33753460 39550810 39855047 79101620 79710094 159420188 199275235 398550470 518115611 797100940 1036231222 2072462444 2590578055 5181156110 10362312220