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1213020014304 = 25372316381527
BaseRepresentation
bin10001101001101101101…
…000001000011011100000
311021222000110011100220110
4101221231220020123200
5124333231110424204
62325130444411320
7153431523666300
oct21515550103340
94258013140813
101213020014304
114284911a159a
12177111b46b40
138a505b76497
14429d37c3600
1521847c92889
hex11a6da086e0

1213020014304 has 144 divisors (see below), whose sum is σ = 3705259759488. Its totient is φ = 346463324928.

The previous prime is 1213020014267. The next prime is 1213020014309. The reversal of 1213020014304 is 4034100203121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213020014309) 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 23 ways as a sum of consecutive naturals, for example, 14837989 + ... + 14919515.

It is an arithmetic number, because the mean of its divisors is an integer number (25730970552).

Almost surely, 21213020014304 is an apocalyptic number.

1213020014304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213020014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852629879744).

1213020014304 is an abundant number, since it is smaller than the sum of its proper divisors (2492239745184).

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

1213020014304 is a wasteful number, since it uses less digits than its factorization.

1213020014304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84717 (or 84702 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1213020014304 its reverse (4034100203121), we get a palindrome (5247120217425).

The spelling of 1213020014304 in words is "one trillion, two hundred thirteen billion, twenty million, fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 3163 4704 6326 9489 12652 18978 22141 25304 37956 44282 50608 66423 75912 81527 88564 101216 132846 151824 154987 163054 177128 244581 265692 303648 309974 326108 354256 464961 489162 531384 570689 619948 652216 708512 929922 978324 1062768 1141378 1239896 1304432 1712067 1859844 1956648 2125536 2282756 2479792 2608864 3424134 3719688 3913296 3994823 4565512 4959584 6848268 7439376 7826592 7989646 9131024 11984469 13696536 14878752 15979292 18262048 23968938 27393072 31958584 47937876 54786144 63917168 95875752 127834336 191751504 257869901 383503008 515739802 773609703 1031479604 1547219406 1805089307 2062959208 3094438812 3610178614 4125918416 5415267921 6188877624 7220357228 8251836832 10830535842 12377755248 12635625149 14440714456 21661071684 24755510496 25271250298 28881428912 37906875447 43322143368 50542500596 57762857824 75813750894 86644286736 101085001192 151627501788 173288573472 202170002384 303255003576 404340004768 606510007152 1213020014304