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120383510521316 = 22719372112137369
BaseRepresentation
bin11011010111110011111000…
…011000011010010111100100
3120210020112212211111002121112
4123113303320120122113210
5111234330412143140231
61104011230554204152
734233264420631250
oct3327637030322744
9523215784432545
10120383510521316
11353a33a6330179
121160316a123658
135223168771923
1421a2843287260
15ddb6b85bc92b
hex6d7cf861a5e4

120383510521316 has 144 divisors (see below), whose sum is σ = 261530017257600. Its totient is φ = 47330770798080.

The previous prime is 120383510521243. The next prime is 120383510521361. The reversal of 120383510521316 is 613125015383021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876282680 + ... + 876420048.

It is an arithmetic number, because the mean of its divisors is an integer number (1816180675400).

Almost surely, 2120383510521316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120383510521316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130765008628800).

120383510521316 is an abundant number, since it is smaller than the sum of its proper divisors (141146506736284).

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

120383510521316 is a wasteful number, since it uses less digits than its factorization.

120383510521316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137858 (or 137645 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 120383510521316 in words is "one hundred twenty trillion, three hundred eighty-three billion, five hundred ten million, five hundred twenty-one thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 211 259 266 422 518 532 703 844 1036 1406 1477 2812 2954 4009 4921 5908 7807 8018 9842 15614 16036 19684 28063 31228 44521 54649 56126 89042 109298 112252 137369 148333 178084 218596 274738 296666 311647 549476 593332 623294 845899 961583 1038331 1246588 1647277 1691798 1923166 2076662 2610011 3294554 3383596 3846332 4153324 5082653 5220022 5921293 6589108 10165306 10440044 11530939 11842586 18270077 20330612 23061878 23685172 28984859 31298263 35578571 36540154 46123756 57969718 62596526 71157142 73080308 96570407 115939436 125193052 142314284 193140814 202894013 219087841 386281628 405788026 438175682 550712321 675992849 811576052 876351364 1072439783 1101424642 1351985698 2144879566 2202849284 2703971396 3854986247 4289759132 6115805249 7507078481 7709972494 12231610498 15014156962 15419944988 20376355877 24463220996 30028313924 40752711754 42810636743 81505423508 85621273486 116200299731 142634491139 171242546972 226284794213 232400599462 285268982278 452569588426 464801198924 570537964556 813402098117 905139176852 1583993559491 1626804196234 3167987118982 3253608392468 4299411090047 6335974237964 8598822180094 17197644360188 30095877630329 60191755260658 120383510521316