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334130412233121 = 37236837978111567
BaseRepresentation
bin100101111111000111100110…
…0100001111010000110100001
31121211001112222220221220102120
41023332033030201322012201
5322243343041012424441
63142345220424134453
7130244061045651540
oct11376171441720641
91554045886856376
10334130412233121
1197511a03a420a9
1231584867007429
1311459493a49a2a
145c71dd9258157
152896773734966
hex12fe3cc87a1a1

334130412233121 has 128 divisors (see below), whose sum is σ = 533730843426816. Its totient is φ = 181793414119680.

The previous prime is 334130412233087. The next prime is 334130412233129. The reversal of 334130412233121 is 121332214031433.

It is not a de Polignac number, because 334130412233121 - 214 = 334130412216737 is a prime.

It is a super-2 number, since 2×3341304122331212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334130412233129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213229362480 + ... + 213229364046.

It is an arithmetic number, because the mean of its divisors is an integer number (4169772214272).

Almost surely, 2334130412233121 is an apocalyptic number.

It is an amenable number.

334130412233121 is a deficient number, since it is larger than the sum of its proper divisors (199600431193695).

334130412233121 is a wasteful number, since it uses less digits than its factorization.

334130412233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 334130412233121 its reverse (121332214031433), we get a palindrome (455462626264554).

The spelling of 334130412233121 in words is "three hundred thirty-four trillion, one hundred thirty billion, four hundred twelve million, two hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 23 69 161 483 683 797 811 1567 2049 2391 2433 4701 4781 5579 5677 10969 14343 15709 16737 17031 18331 18653 32907 36041 47127 54993 55959 108123 109963 128317 130571 252287 329889 384951 391713 544351 553913 646367 756861 1070261 1248899 1270837 1633053 1661739 1939101 3210783 3746697 3810457 3812511 3877391 4524569 7491827 8742293 8895859 11431371 11632173 12520073 12739999 13573707 14866441 22475481 24616003 26226879 26687577 28724677 29229251 37560219 38219997 44599323 73848009 86174031 87640511 87687753 89179993 104065087 172312021 201072739 204604757 262921533 267539979 312195261 441468661 516936063 603218217 613814271 852998017 867981671 1012857089 1324405983 2558994051 2603945013 3038571267 3090280627 5970986119 6075871697 7089999623 9270841881 10153779203 17912958357 18227615091 19618954391 19963578433 21269998869 23295713047 30461337609 58856863173 59890735299 69887139141 71076454421 137332680737 139745049031 163069991329 213229363263 411998042211 419235147093 489209973987 691781391787 2075344175361 4842469742509 14527409227527 15910972011101 47732916033303 111376804077707 334130412233121