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42213123101331 = 3371324201314591
BaseRepresentation
bin10011001100100100000100…
…01101010001001010010011
312112110112110010111011112000
421212102002031101022103
521013104434003220311
6225440235133005043
711614540354032330
oct1146220215211223
9175415403434460
1042213123101331
11124a5537551346
124899229623783
131a728acb91400
14a5d1a9c9b987
154d30d82da056
hex266482351293

42213123101331 has 96 divisors (see below), whose sum is σ = 77411376599040. Its totient is φ = 22260891744000.

The previous prime is 42213123101327. The next prime is 42213123101371. The reversal of 42213123101331 is 13310132131224.

42213123101331 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 3 + 12 + 310 + 1 + 331 = 666.

It is not a de Polignac number, because 42213123101331 - 22 = 42213123101327 is a prime.

It is a super-2 number, since 2×422131231013312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42213123101295 and 42213123101304.

It is not an unprimeable number, because it can be changed into a prime (42213123101311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134026846 + ... + 134341436.

It is an arithmetic number, because the mean of its divisors is an integer number (806368506240).

Almost surely, 242213123101331 is an apocalyptic number.

42213123101331 is a deficient number, since it is larger than the sum of its proper divisors (35198253497709).

42213123101331 is a wasteful number, since it uses less digits than its factorization.

42213123101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318834 (or 318815 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 42213123101331 its reverse (13310132131224), we get a palindrome (55523255232555).

The spelling of 42213123101331 in words is "forty-two trillion, two hundred thirteen billion, one hundred twenty-three million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 169 189 273 351 507 819 1183 1521 2457 3549 4201 4563 10647 12603 29407 31941 37809 54613 88221 113427 163839 264663 314591 382291 491517 709969 793989 943773 1146873 1474551 2129907 2202137 2831319 3440619 4089683 4969783 6389721 6606411 8493957 10321857 12269049 14909349 19169163 19819233 28627781 36807147 44728047 53165879 59457699 85883343 110421441 134184141 159497637 257650029 372161153 478492911 772950087 1116483459 1321596791 1435478733 3349450377 3964790373 9251177537 10048351131 11894371119 17180758283 27753532611 35683113357 51542274849 83260597833 120265307981 154626824547 223349857679 249781793499 360795923943 463880473641 670049573037 1082387771829 1563449003753 2010148719111 3247163315487 4690347011259 6030446157333 14071041033777 42213123101331