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31212212130 = 232511109289243
BaseRepresentation
bin11101000100011001…
…001000111110100010
32222120020021122210200
4131010121020332202
51002410311242010
622201054010030
72153316266001
oct350431107642
988506248720
1031212212130
1112267530a40
126070aa6916
132c35573c98
141721436c38
15c2a277cc0
hex744648fa2

31212212130 has 96 divisors (see below), whose sum is σ = 89341686720. Its totient is φ = 7497152640.

The previous prime is 31212212089. The next prime is 31212212131. The reversal of 31212212130 is 3121221213.

31212212130 is a `hidden beast` number, since 312 + 1 + 221 + 2 + 130 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31212212131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36712 + ... + 252531.

It is an arithmetic number, because the mean of its divisors is an integer number (930642570).

Almost surely, 231212212130 is an apocalyptic number.

31212212130 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 31212212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44670843360).

31212212130 is an abundant number, since it is smaller than the sum of its proper divisors (58129474590).

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

31212212130 is a wasteful number, since it uses less digits than its factorization.

31212212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289376 (or 289373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31212212130 its reverse (3121221213), we get a palindrome (34333433343).

It can be divided in two parts, 31212 and 212130, that added together give a palindrome (243342).

The spelling of 31212212130 in words is "thirty-one billion, two hundred twelve million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 109 110 165 198 218 327 330 495 545 654 981 990 1090 1199 1635 1962 2398 3270 3597 4905 5995 7194 9810 10791 11990 17985 21582 35970 53955 107910 289243 578486 867729 1446215 1735458 2603187 2892430 3181673 4338645 5206374 6363346 8677290 9545019 13015935 15908365 19090038 26031870 28635057 31527487 31816730 47725095 57270114 63054974 94582461 95450190 143175285 157637435 189164922 283747383 286350570 315274870 346802357 472912305 567494766 693604714 945824610 1040407071 1418736915 1734011785 2080814142 2837473830 3121221213 3468023570 5202035355 6242442426 10404070710 15606106065 31212212130