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340020101102310 = 232523958726929363
BaseRepresentation
bin100110101001111110001100…
…1010101111011101011100110
31122120220121022110122101201100
41031103330121111323223212
5324031342131340233220
63203055024504540530
7131422433036223456
oct11523743125735346
91576817273571640
10340020101102310
1199382795848242
123217620ba81746
13117959b12b5655
145dd70bc7d3d66
152949a83117d90
hex1353f1957bae6

340020101102310 has 96 divisors (see below), whose sum is σ = 889263612357120. Its totient is φ = 90138822225984.

The previous prime is 340020101102233. The next prime is 340020101102317. The reversal of 340020101102310 is 13201101020043.

340020101102310 is a `hidden beast` number, since 3 + 40 + 0 + 201 + 0 + 110 + 2 + 310 = 666.

It is a super-2 number, since 2×3400201011023102 (a number of 30 digits) 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 (340020101102317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838312 + ... + 26091051.

It is an arithmetic number, because the mean of its divisors is an integer number (9263162628720).

Almost surely, 2340020101102310 is an apocalyptic number.

340020101102310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340020101102310 is an abundant number, since it is smaller than the sum of its proper divisors (549243511254810).

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

340020101102310 is a wasteful number, since it uses less digits than its factorization.

340020101102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26930202 (or 26930199 counting only the distinct ones).

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

Adding to 340020101102310 its reverse (13201101020043), we get a palindrome (353221202122353).

The spelling of 340020101102310 in words is "three hundred forty trillion, twenty billion, one hundred one million, one hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 239 478 587 717 1174 1195 1434 1761 2151 2390 2935 3522 3585 4302 5283 5870 7170 8805 10566 10755 17610 21510 26415 52830 140293 280586 420879 701465 841758 1262637 1402930 2104395 2525274 4208790 6313185 12626370 26929363 53858726 80788089 134646815 161576178 242364267 269293630 403940445 484728534 807880890 1211821335 2423642670 6436117757 12872235514 15807536081 19308353271 31615072162 32180588785 38616706542 47422608243 57925059813 64361177570 79037680405 94845216486 96541766355 115850119626 142267824729 158075360810 193083532710 237113041215 284535649458 289625299065 474226082430 579250598130 711339123645 1422678247290 3778001123359 7556002246718 11334003370077 18890005616795 22668006740154 34002010110231 37780011233590 56670016850385 68004020220462 113340033700770 170010050551155 340020101102310