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334123211304120 = 23357537505013731
BaseRepresentation
bin100101111111000100001111…
…1010100100010110010111000
31121211000212102002010210212110
41023332020133110202302320
5322243233314043212440
63142342030111212320
7130243414440035460
oct11376103724426270
91554025362123773
10334123211304120
1197509949230607
12315833975170a0
13114588b6c229b4
145c71914b56ba0
1528964a147b080
hex12fe21f522cb8

334123211304120 has 128 divisors (see below), whose sum is σ = 1167179735600640. Its totient is φ = 74930057080320.

The previous prime is 334123211304097. The next prime is 334123211304161. The reversal of 334123211304120 is 21403112321433.

It is a super-2 number, since 2×3341232113041202 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3752462346 + ... + 3752551385.

It is an arithmetic number, because the mean of its divisors is an integer number (9118591684380).

Almost surely, 2334123211304120 is an apocalyptic number.

334123211304120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334123211304120 is an abundant number, since it is smaller than the sum of its proper divisors (833056524296520).

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

334123211304120 is a wasteful number, since it uses less digits than its factorization.

334123211304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505013805 (or 7505013801 counting only the distinct ones).

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

Adding to 334123211304120 its reverse (21403112321433), we get a palindrome (355526323625553).

The spelling of 334123211304120 in words is "three hundred thirty-four trillion, one hundred twenty-three billion, two hundred eleven million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 22260 44520 7505013731 15010027462 22515041193 30020054924 37525068655 45030082386 52535096117 60040109848 75050137310 90060164772 105070192234 112575205965 150100274620 157605288351 180120329544 210140384468 225150411930 262675480585 300200549240 315210576702 397765727743 420280768936 450300823860 525350961170 630421153404 788026441755 795531455486 900601647720 1050701922340 1193297183229 1260842306808 1576052883510 1591062910972 1988828638715 2101403844680 2386594366458 2784360094201 3152105767020 3182125821944 3977657277430 4773188732916 5568720188402 5966485916145 6304211534040 7955314554860 8353080282603 9546377465832 11137440376804 11932971832290 13921800471005 15910629109720 16706160565206 22274880753608 23865943664580 27843600942010 33412321130412 41765401413015 47731887329160 55687201884020 66824642260824 83530802826030 111374403768040 167061605652060 334123211304120