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1311411114210 = 2351913991644547
BaseRepresentation
bin10011000101010110001…
…100011001000011100010
311122100222111101010010210
4103011112030121003202
5132441232221123320
62442242015234550
7163513663356051
oct23052614310342
94570874333123
101311411114210
1146619142719a
121921b0b18a56
1396886255122
1447688cb4398
15241a5b210e0
hex131563190e2

1311411114210 has 64 divisors (see below), whose sum is σ = 3315408768000. Its totient is φ = 331066844352.

The previous prime is 1311411114193. The next prime is 1311411114217. The reversal of 1311411114210 is 124111141131.

It is a super-2 number, since 2×13114111142102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311411114217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24844 + ... + 1619703.

It is an arithmetic number, because the mean of its divisors is an integer number (51803262000).

Almost surely, 21311411114210 is an apocalyptic number.

1311411114210 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 1311411114210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657704384000).

1311411114210 is an abundant number, since it is smaller than the sum of its proper divisors (2003997653790).

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

1311411114210 is a wasteful number, since it uses less digits than its factorization.

1311411114210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645975.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 1311411114210 its reverse (124111141131), we get a palindrome (1435522255341).

The spelling of 1311411114210 in words is "one trillion, three hundred eleven billion, four hundred eleven million, one hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1399 2798 4197 6995 8394 13990 20985 26581 41970 53162 79743 132905 159486 265810 398715 797430 1644547 3289094 4933641 8222735 9867282 16445470 24668205 31246393 49336410 62492786 93739179 156231965 187478358 312463930 468695895 937391790 2300721253 4601442506 6902163759 11503606265 13804327518 23007212530 34510818795 43713703807 69021637590 87427407614 131141111421 218568519035 262282222842 437137038070 655705557105 1311411114210