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41312102220 = 22335174500229
BaseRepresentation
bin100110011110011001…
…001010011101001100
310221122010000020101000
4212132121022131030
51134101344232340
630551205420300
72661516034464
oct463631123514
9127563006330
1041312102220
111657a671944
12800b40a690
133b84b66bcc
141ddc95cba4
15111bcb7d30
hex99e64a74c

41312102220 has 96 divisors (see below), whose sum is σ = 136086955200. Its totient is φ = 10368525312.

The previous prime is 41312102201. The next prime is 41312102233. The reversal of 41312102220 is 2220121314.

It is a happy number.

41312102220 is a `hidden beast` number, since 413 + 1 + 210 + 22 + 20 = 666.

41312102220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41312102193 and 41312102202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2240935 + ... + 2259294.

It is an arithmetic number, because the mean of its divisors is an integer number (1417572450).

Almost surely, 241312102220 is an apocalyptic number.

It is an amenable number.

41312102220 is an abundant number, since it is smaller than the sum of its proper divisors (94774852980).

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

41312102220 is a wasteful number, since it uses less digits than its factorization.

41312102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500264 (or 4500256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41312102220 its reverse (2220121314), we get a palindrome (43532223534).

The spelling of 41312102220 in words is "forty-one billion, three hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 4500229 9000458 13500687 18000916 22501145 27001374 40502061 45002290 54002748 67503435 76503893 81004122 90004580 121506183 135006870 153007786 162008244 202510305 229511679 243012366 270013740 306015572 382519465 405020610 459023358 486024732 607530915 688535037 765038930 810041220 918046716 1147558395 1215061830 1377070074 1530077860 2065605111 2295116790 2430123660 2754140148 3442675185 4131210222 4590233580 6885350370 8262420444 10328025555 13770700740 20656051110 41312102220