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120155021142 = 2313231572231913
BaseRepresentation
bin110111111100111001…
…1000001111101010110
3102111010210212111112020
41233321303001331112
53432034141134032
6131110511034010
711452360554042
oct1577163017526
9374123774466
10120155021142
1146a59416872
121b35380b906
13b43b353860
145b5bb7b022
1531d38c7b2c
hex1bf9cc1f56

120155021142 has 128 divisors (see below), whose sum is σ = 273128841216. Its totient is φ = 34962250752.

The previous prime is 120155021137. The next prime is 120155021143. The reversal of 120155021142 is 241120551021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120155021143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62808778 + ... + 62810690.

It is an arithmetic number, because the mean of its divisors is an integer number (2133819072).

Almost surely, 2120155021142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120155021142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136564420608).

120155021142 is an abundant number, since it is smaller than the sum of its proper divisors (152973820074).

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

120155021142 is a wasteful number, since it uses less digits than its factorization.

120155021142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334.

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 120155021142 its reverse (241120551021), we get a palindrome (361275572163).

The spelling of 120155021142 in words is "one hundred twenty billion, one hundred fifty-five million, twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 157 223 299 314 446 471 598 669 897 942 1338 1794 1913 2041 2899 3611 3826 4082 5129 5739 5798 6123 7222 8697 10258 10833 11478 12246 15387 17394 21666 24869 30774 35011 43999 46943 49738 66677 70022 74607 87998 93886 105033 131997 133354 140829 149214 200031 210066 263994 281658 300341 400062 426599 455143 571987 600682 805253 853198 901023 910286 1143974 1279797 1365429 1610506 1715961 1802046 2415759 2559594 2730858 3431922 3904433 4831518 5545787 6907843 7808866 9811777 10468289 11091574 11713299 13815686 16637361 19623554 20723529 20936578 23426598 29435331 31404867 33274722 41447058 58870662 62809734 66976043 89801959 127553101 133952086 179603918 200928129 255106202 269405877 382659303 401856258 538811754 765318606 870688559 1540448989 1741377118 2612065677 3080897978 4621346967 5224131354 9242693934 20025836857 40051673714 60077510571 120155021142