Search a number
-
+
2134305311320 = 2357134313635991
BaseRepresentation
bin11111000011101110100…
…000101000101001011000
321120001000101222120102201
4133003232200220221120
5234432024124430240
64312253013535544
7310125034546330
oct37035640505130
97501011876381
102134305311320
11753176786046
122a57866445b4
13126358397aa0
147542da660c0
153a7b8cc3d9a
hex1f0ee828a58

2134305311320 has 128 divisors (see below), whose sum is σ = 6047835171840. Its totient is φ = 659763740160.

The previous prime is 2134305311279. The next prime is 2134305311353. The reversal of 2134305311320 is 231135034312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6661476 + ... + 6974515.

It is an arithmetic number, because the mean of its divisors is an integer number (47248712280).

Almost surely, 22134305311320 is an apocalyptic number.

2134305311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134305311320 is an abundant number, since it is smaller than the sum of its proper divisors (3913529860520).

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

2134305311320 is a wasteful number, since it uses less digits than its factorization.

2134305311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13636065 (or 13636061 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 2134305311320 in words is "two trillion, one hundred thirty-four billion, three hundred five million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 43 52 56 65 70 86 91 104 130 140 172 182 215 260 280 301 344 364 430 455 520 559 602 728 860 910 1118 1204 1505 1720 1820 2236 2408 2795 3010 3640 3913 4472 5590 6020 7826 11180 12040 15652 19565 22360 31304 39130 78260 156520 13635991 27271982 54543964 68179955 95451937 109087928 136359910 177267883 190903874 272719820 354535766 381807748 477259685 545439640 586347613 709071532 763615496 886339415 954519370 1172695226 1240875181 1418143064 1772678830 1909038740 2345390452 2481750362 2931738065 3545357660 3818077480 4104433291 4690780904 4963500724 5863476130 6204375905 7090715320 7622518969 8208866582 9927001448 11726952260 12408751810 15245037938 16417733164 20522166455 23453904520 24817503620 30490075876 32835466328 38112594845 41044332910 49635007240 53357632783 60980151752 76225189690 82088665820 106715265566 152450379380 164177331640 213430531132 266788163915 304900758760 426861062264 533576327830 1067152655660 2134305311320