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31324313130 = 235116110714543
BaseRepresentation
bin11101001011000100…
…110001011000101010
32222212001012222110120
4131023010301120222
51003123011010010
622220140424110
72156150161035
oct351304613052
988761188416
1031324313130
11123148380a0
1260a2548036
132c52863736
14173229801c
15c3501ce70
hex74b13162a

31324313130 has 128 divisors (see below), whose sum is σ = 84142043136. Its totient is φ = 7398969600.

The previous prime is 31324313107. The next prime is 31324313149. The reversal of 31324313130 is 3131342313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31324313130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146639 + ... + 2161181.

It is an arithmetic number, because the mean of its divisors is an integer number (657359712).

Almost surely, 231324313130 is an apocalyptic number.

31324313130 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 31324313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42071021568).

31324313130 is an abundant number, since it is smaller than the sum of its proper divisors (52817730006).

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

31324313130 is a wasteful number, since it uses less digits than its factorization.

31324313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14732.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31324313130 its reverse (3131342313), we get a palindrome (34455655443).

The spelling of 31324313130 in words is "thirty-one billion, three hundred twenty-four million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 107 110 122 165 183 214 305 321 330 366 535 610 642 671 915 1070 1177 1342 1605 1830 2013 2354 3210 3355 3531 4026 5885 6527 6710 7062 10065 11770 13054 14543 17655 19581 20130 29086 32635 35310 39162 43629 65270 71797 72715 87258 97905 143594 145430 159973 195810 215391 218145 319946 358985 430782 436290 479919 717970 799865 887123 959838 1076955 1556101 1599730 1774246 2153910 2399595 2661369 3112202 4435615 4668303 4799190 5322738 7780505 8871230 9336606 9758353 13306845 15561010 17117111 19516706 23341515 26613690 29275059 34234222 46683030 48791765 51351333 58550118 85585555 94922161 97583530 102702666 146375295 171171110 189844322 256756665 284766483 292750590 474610805 513513330 569532966 949221610 1044143771 1423832415 2088287542 2847664830 3132431313 5220718855 6264862626 10441437710 15662156565 31324313130