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1213142310 = 2325371013607
BaseRepresentation
bin100100001001111…
…0001010100100110
310010112202000101200
41020103301110212
54441031023220
6320213503330
742030353022
oct11023612446
93115660350
101213142310
11572872856
1229a341b46
131644463b3
14b7191382
1571784890
hex484f1526

1213142310 has 96 divisors (see below), whose sum is σ = 3272398272. Its totient is φ = 311558400.

The previous prime is 1213142303. The next prime is 1213142311. The reversal of 1213142310 is 132413121.

1213142310 is a `hidden beast` number, since 1 + 213 + 142 + 310 = 666.

It is a super-2 number, since 2×12131423102 = 2943428528624272200, which 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 (1213142311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334527 + ... + 338133.

It is an arithmetic number, because the mean of its divisors is an integer number (34087482).

Almost surely, 21213142310 is an apocalyptic number.

1213142310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213142310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636199136).

1213142310 is an abundant number, since it is smaller than the sum of its proper divisors (2059255962).

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

1213142310 is a wasteful number, since it uses less digits than its factorization.

1213142310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3755 counting only the distinct ones).

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

The square root of 1213142310 is about 34830.1925059280. The cubic root of 1213142310 is about 1066.5238781305.

Adding to 1213142310 its reverse (132413121), we get a palindrome (1345555431).

The spelling of 1213142310 in words is "one billion, two hundred thirteen million, one hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 101 111 185 202 222 303 333 370 505 555 606 666 909 1010 1110 1515 1665 1818 3030 3330 3607 3737 4545 7214 7474 9090 10821 11211 18035 18685 21642 22422 32463 33633 36070 37370 54105 56055 64926 67266 108210 112110 133459 162315 168165 266918 324630 336330 364307 400377 667295 728614 800754 1092921 1201131 1334590 1821535 2001885 2185842 2402262 3278763 3643070 4003770 5464605 6005655 6557526 10929210 12011310 13479359 16393815 26958718 32787630 40438077 67396795 80876154 121314231 134793590 202190385 242628462 404380770 606571155 1213142310