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31313220330 = 23571271174099
BaseRepresentation
bin11101001010011010…
…011101001011101010
32222211021100102000010
4131022122131023222
51003112141022310
622215102552350
72155653660360
oct351232351352
988737312003
1031313220330
1112309550997
12609a8986b6
132c5047b652
141730a0b630
15c3407b320
hex74a69d2ea

31313220330 has 64 divisors (see below), whose sum is σ = 86564044800. Its totient is φ = 7100944704.

The previous prime is 31313220319. The next prime is 31313220331. The reversal of 31313220330 is 3302231313.

It is a super-3 number, since 3×313132203303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31313220297 and 31313220306.

It is not an unprimeable number, because it can be changed into a prime (31313220331) 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, 560380 + ... + 613719.

It is an arithmetic number, because the mean of its divisors is an integer number (1352563200).

Almost surely, 231313220330 is an apocalyptic number.

31313220330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31313220330 is an abundant number, since it is smaller than the sum of its proper divisors (55250824470).

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

31313220330 is a wasteful number, since it uses less digits than its factorization.

31313220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174243.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 31313220330 its reverse (3302231313), we get a palindrome (34615451643).

The spelling of 31313220330 in words is "thirty-one billion, three hundred thirteen million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 381 635 762 889 1270 1778 1905 2667 3810 4445 5334 8890 13335 26670 1174099 2348198 3522297 5870495 7044594 8218693 11740990 16437386 17611485 24656079 35222970 41093465 49312158 82186930 123280395 149110573 246560790 298221146 447331719 745552865 894663438 1043774011 1491105730 2087548022 2236658595 3131322033 4473317190 5218870055 6262644066 10437740110 15656610165 31313220330