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30220331310 = 2345132998963
BaseRepresentation
bin11100001001010001…
…011010100100101110
32220000002212220010000
4130021101122210232
5443342401100220
621514422325130
72116613402121
oct341121324456
986002786100
1030220331310
11118a8653224
125a348897a6
132b07c1a560
1416698003b8
15bbd14c390
hex70945a92e

30220331310 has 160 divisors (see below), whose sum is σ = 90528308640. Its totient is φ = 7182266112.

The previous prime is 30220331257. The next prime is 30220331311. The reversal of 30220331310 is 1313302203.

30220331310 is a `hidden beast` number, since 3 + 0 + 2 + 20 + 331 + 310 = 666.

It is a super-2 number, since 2×302203313102 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30220331311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255889 + ... + 354851.

It is an arithmetic number, because the mean of its divisors is an integer number (565801929).

Almost surely, 230220331310 is an apocalyptic number.

30220331310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30220331310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45264154320).

30220331310 is an abundant number, since it is smaller than the sum of its proper divisors (60307977330).

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

30220331310 is a wasteful number, since it uses less digits than its factorization.

30220331310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99024 (or 99015 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30220331310 its reverse (1313302203), we get a palindrome (31533633513).

The spelling of 30220331310 in words is "thirty billion, two hundred twenty million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 78 81 87 90 117 130 135 145 162 174 195 234 261 270 290 351 377 390 405 435 522 585 702 754 783 810 870 1053 1131 1170 1305 1566 1755 1885 2106 2262 2349 2610 3393 3510 3770 3915 4698 5265 5655 6786 7830 10179 10530 11310 11745 16965 20358 23490 30537 33930 50895 61074 98963 101790 152685 197926 296889 305370 494815 593778 890667 989630 1286519 1484445 1781334 2573038 2672001 2869927 2968890 3859557 4453335 5344002 5739854 6432595 7719114 8016003 8609781 8906670 11578671 12865190 13360005 14349635 16032006 17219562 19297785 23157342 25829343 26720010 28699270 34736013 37309051 38595570 40080015 43048905 51658686 57893355 69472026 74618102 77488029 80160030 86097810 104208039 111927153 115786710 129146715 154976058 173680065 186545255 208416078 223854306 232464087 258293430 335781459 347360130 373090510 387440145 464928174 521040195 559635765 671562918 774880290 1007344377 1042080390 1119271530 1162320435 1678907295 2014688754 2324640870 3022033131 3357814590 5036721885 6044066262 10073443770 15110165655 30220331310