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41320323220 = 225115335310039
BaseRepresentation
bin100110011110111000…
…100001100010010100
310221122200110220110111
4212132320201202110
51134111000320340
630552101532404
72661645644431
oct463670414224
9127580426414
1041320323220
1116584277460
128012114104
133b86784ac7
141ddda9cb88
15111c88daea
hex99ee21894

41320323220 has 96 divisors (see below), whose sum is σ = 96730018560. Its totient is φ = 14698844160.

The previous prime is 41320323203. The next prime is 41320323223. The reversal of 41320323220 is 2232302314.

It is a super-2 number, since 2×413203232202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 41320323191 and 41320323200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41320323223) 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, 4110961 + ... + 4120999.

It is an arithmetic number, because the mean of its divisors is an integer number (1007604360).

Almost surely, 241320323220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41320323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48365009280).

41320323220 is an abundant number, since it is smaller than the sum of its proper divisors (55409695340).

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

41320323220 is a wasteful number, since it uses less digits than its factorization.

41320323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10463 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 41320323220 its reverse (2232302314), we get a palindrome (43552625534).

The spelling of 41320323220 in words is "forty-one billion, three hundred twenty million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 353 530 583 706 1060 1166 1412 1765 2332 2915 3530 3883 5830 7060 7766 10039 11660 15532 18709 19415 20078 37418 38830 40156 50195 74836 77660 93545 100390 110429 187090 200780 205799 220858 374180 411598 441716 532067 552145 823196 1028995 1064134 1104290 2057990 2128268 2208580 2660335 3543767 4115980 5320670 5852737 7087534 10641340 11705474 14175068 17718835 23410948 29263685 35437670 38981437 58527370 70875340 77962874 117054740 155925748 187819651 194907185 375639302 389814370 751278604 779628740 939098255 1878196510 2066016161 3756393020 4132032322 8264064644 10330080805 20660161610 41320323220