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10133112220 = 22571136717929
BaseRepresentation
bin10010110111111101…
…10000010110011100
3222011012020102202121
421123332300112130
5131223034042340
64353255432324
7506052014140
oct113376602634
928135212677
1010133112220
11432a972210
121b696856a4
13c564556ba
146c1ad3220
153e490394a
hex25bfb059c

10133112220 has 96 divisors (see below), whose sum is σ = 26604103680. Its totient is φ = 3149591040.

The previous prime is 10133112193. The next prime is 10133112221. The reversal of 10133112220 is 2221133101.

It is a super-2 number, since 2×101331122202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10133112194 and 10133112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556216 + ... + 574144.

It is an arithmetic number, because the mean of its divisors is an integer number (277126080).

Almost surely, 210133112220 is an apocalyptic number.

10133112220 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 10133112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302051840).

10133112220 is an abundant number, since it is smaller than the sum of its proper divisors (16470991460).

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

10133112220 is a wasteful number, since it uses less digits than its factorization.

10133112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18323 (or 18321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10133112220 its reverse (2221133101), we get a palindrome (12354245321).

The spelling of 10133112220 in words is "ten billion, one hundred thirty-three million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 367 385 734 770 1468 1540 1835 2569 3670 4037 5138 7340 8074 10276 12845 16148 17929 20185 25690 28259 35858 40370 51380 56518 71716 80740 89645 113036 125503 141295 179290 197219 251006 282590 358580 394438 502012 565180 627515 788876 986095 1255030 1380533 1972190 2510060 2761066 3944380 5522132 6579943 6902665 13159886 13805330 26319772 27610660 32899715 46059601 65799430 72379373 92119202 131598860 144758746 184238404 230298005 289517492 361896865 460596010 506655611 723793730 921192020 1013311222 1447587460 2026622444 2533278055 5066556110 10133112220