Search a number
-
+
120215233305342 = 23472913127904687
BaseRepresentation
bin11011010101010111001010…
…010001110001101011111110
3120202122110112022012210220000
4123111113022101301223332
5111224101244211232332
61103402041001335130
734215156356121120
oct3325271221615376
9522573468183800
10120215233305342
1135338aa321815a
12115966264974a6
13521032b710796
14219863c347210
15dd711a126b7c
hex6d55ca471afe

120215233305342 has 160 divisors (see below), whose sum is σ = 320899447249920. Its totient is φ = 32909670480960.

The previous prime is 120215233305337. The next prime is 120215233305359. The reversal of 120215233305342 is 243503332512021.

120215233305342 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 5 + 2 + 3 + 3 + 305 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120215233305297 and 120215233305306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9644278 + ... + 18260409.

It is an arithmetic number, because the mean of its divisors is an integer number (2005621545312).

Almost surely, 2120215233305342 is an apocalyptic number.

120215233305342 is an abundant number, since it is smaller than the sum of its proper divisors (200684213944578).

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

120215233305342 is a wasteful number, since it uses less digits than its factorization.

120215233305342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27904868 (or 27904859 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 120215233305342 its reverse (243503332512021), we get a palindrome (363718565817363).

It can be divided in two parts, 120215233 and 305342, that added together give a triangular number (120520575 = T15525).

The spelling of 120215233305342 in words is "one hundred twenty trillion, two hundred fifteen billion, two hundred thirty-three million, three hundred five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 131 162 174 189 203 261 262 378 393 406 522 567 609 783 786 917 1134 1179 1218 1566 1827 1834 2349 2358 2751 3537 3654 3799 4698 5481 5502 7074 7598 8253 10611 10962 11397 16443 16506 21222 22794 24759 26593 32886 34191 49518 53186 68382 74277 79779 102573 148554 159558 205146 239337 307719 478674 615438 718011 1436022 2154033 4308066 27904687 55809374 83714061 167428122 195332809 251142183 390665618 502284366 585998427 753426549 809235923 1171996854 1506853098 1618471846 1757995281 2260279647 2427707769 3515990562 3655513997 4520559294 4855415538 5273985843 5664651461 7283123307 7311027994 10547971686 10966541991 11329302922 14566246614 15821957529 16993954383 21849369921 21933083982 25588597979 31643915058 32899625973 33987908766 43698739842 50981863149 51177195958 65548109763 65799251946 76765793937 98698877919 101963726298 106009905913 131096219526 152945589447 153531587874 197397755838 212019811826 230297381811 296096633757 305891178894 318029717739 458836768341 460594763622 592193267514 636059435478 690892145433 742069341391 917673536682 954089153217 1381784290866 1484138682782 1908178306434 2072676436299 2226208024173 2862267459651 4145352872598 4452416048346 5724534919302 6678624072519 8586802378953 13357248145038 17173604757906 20035872217557 40071744435114 60107616652671 120215233305342