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1314203313104 = 241141792305361
BaseRepresentation
bin10011000111111100100…
…111110010001111010000
311122122012002101111221122
4103013330213302033100
5133012442022004404
62443423041541412
7163643116563443
oct23077447621720
94578162344848
101314203313104
11467394566590
12192850044868
1396c0c880616
1447871a6765a
15242bad193be
hex131fc9f23d0

1314203313104 has 80 divisors (see below), whose sum is σ = 2881518071040. Its totient is φ = 575417856000.

The previous prime is 1314203313079. The next prime is 1314203313107. The reversal of 1314203313104 is 4013133024131.

It is a super-2 number, since 2×13142033131042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314203313107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582617 + ... + 1722744.

It is an arithmetic number, because the mean of its divisors is an integer number (36018975888).

Almost surely, 21314203313104 is an apocalyptic number.

It is an amenable number.

1314203313104 is an abundant number, since it is smaller than the sum of its proper divisors (1567314757936).

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

1314203313104 is a wasteful number, since it uses less digits than its factorization.

1314203313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305500 (or 2305494 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 1314203313104 its reverse (4013133024131), we get a palindrome (5327336337235).

The spelling of 1314203313104 in words is "one trillion, three hundred fourteen billion, two hundred three million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 41 44 79 82 88 158 164 176 316 328 451 632 656 869 902 1264 1738 1804 3239 3476 3608 6478 6952 7216 12956 13904 25912 35629 51824 71258 142516 285032 570064 2305361 4610722 9221444 18442888 25358971 36885776 50717942 94519801 101435884 182123519 189039602 202871768 364247038 378079204 405743536 728494076 756158408 1039717811 1456988152 1512316816 2003358709 2079435622 2913976304 4006717418 4158871244 7467064279 8013434836 8317742488 14934128558 16026869672 16635484976 29868257116 32053739344 59736514232 82137707069 119473028464 164275414138 328550828276 657101656552 1314203313104