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334131443020110 = 235317310148729299
BaseRepresentation
bin100101111111001000000100…
…1111110000011000101001110
31121211001122122202120022100110
41023332100021332003011032
5322243402143403120420
63142345511005340450
7130244125433336451
oct11376201176030516
91554048582508313
10334131443020110
119751239288367a
1231584ab4267726
13114595c9476168
145c720960db498
1528967d3e97ee0
hex12fe409f8314e

334131443020110 has 128 divisors (see below), whose sum is σ = 847431374745600. Its totient is φ = 84204226944000.

The previous prime is 334131443020103. The next prime is 334131443020117. The reversal of 334131443020110 is 11020344131433.

It is an interprime number because it is at equal distance from previous prime (334131443020103) and next prime (334131443020117).

It is a super-3 number, since 3×3341314430201103 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334131443020117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17507760 + ... + 31221539.

It is an arithmetic number, because the mean of its divisors is an integer number (6620557615200).

Almost surely, 2334131443020110 is an apocalyptic number.

334131443020110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

334131443020110 is an abundant number, since it is smaller than the sum of its proper divisors (513299931725490).

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

334131443020110 is a wasteful number, since it uses less digits than its factorization.

334131443020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48729514.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 334131443020110 its reverse (11020344131433), we get a palindrome (345151787151543).

The spelling of 334131443020110 in words is "three hundred thirty-four trillion, one hundred thirty-one billion, four hundred forty-three million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 73 93 101 146 155 186 202 219 303 310 365 438 465 505 606 730 930 1010 1095 1515 2190 2263 3030 3131 4526 6262 6789 7373 9393 11315 13578 14746 15655 18786 22119 22630 31310 33945 36865 44238 46965 67890 73730 93930 110595 221190 228563 457126 685689 1142815 1371378 2285630 3428445 6856890 48729299 97458598 146187897 243646495 292375794 487292990 730939485 1461878970 1510608269 3021216538 3557238827 4531824807 4921659199 7114477654 7553041345 9063649614 9843318398 10671716481 14764977597 15106082690 17786194135 21343432962 22659124035 24608295995 29529955194 35572388270 45318248070 49216591990 53358582405 73824887985 106717164810 110274403637 147649775970 152571435169 220548807274 305142870338 330823210911 359281121527 457714305507 551372018185 661646421822 718562243054 762857175845 915428611014 1077843364581 1102744036370 1525714351690 1654116054555 1796405607635 2155686729162 2288571527535 3308232109110 3592811215270 4577143055070 5389216822905 10778433645810 11137714767337 22275429534674 33413144302011 55688573836685 66826288604022 111377147673370 167065721510055 334131443020110