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1332211011131 = 74111341101937
BaseRepresentation
bin10011011000101101111…
…101101100111000111011
311201100200002001100200102
4103120231331230320323
5133311332004324011
62500002001230015
7165151300520000
oct23305575547073
94640602040612
101332211011131
11473a95426650
1219623693230b
139881c577a40
144869d4d98a7
15249c1be373b
hex1362df6ce3b

1332211011131 has 160 divisors (see below), whose sum is σ = 1890926686656. Its totient is φ = 924618240000.

The previous prime is 1332211011113. The next prime is 1332211011139. The reversal of 1332211011131 is 1311101122331.

It is not a de Polignac number, because 1332211011131 - 26 = 1332211011067 is a prime.

It is a super-2 number, since 2×13322110111312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1332211011139) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1421782895 + ... + 1421783831.

Almost surely, 21332211011131 is an apocalyptic number.

1332211011131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1332211011131 is a deficient number, since it is larger than the sum of its proper divisors (558715675525).

1332211011131 is a wasteful number, since it uses less digits than its factorization.

1332211011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1332211011131 its reverse (1311101122331), we get a palindrome (2643312133462).

The spelling of 1332211011131 in words is "one trillion, three hundred thirty-two billion, two hundred eleven million, eleven thousand, one hundred thirty-one".

Divisors: 1 7 11 13 41 49 77 91 101 143 287 343 451 533 539 637 707 937 1001 1111 1313 2009 2401 3157 3731 3773 4141 4459 4949 5863 6559 7007 7777 9191 10307 12181 14063 14443 22099 26117 26411 28987 31213 34643 38417 41041 45551 45913 49049 53833 54439 64337 72149 85267 94637 98441 101101 133991 154693 182819 202909 242501 268919 287287 318857 321391 343343 376831 381073 422587 450359 499421 505043 592163 596869 662459 707707 937937 1041007 1082851 1230281 1279733 1420363 1882433 2011009 2231999 2249737 2637817 2667511 2958109 3152513 3495947 3535301 3880117 4145141 4178083 4637213 4953949 5493631 6565559 7287049 8611967 9942541 13177031 13533091 14077063 15623993 18464719 20706763 24471629 24747107 27160819 29015987 29246581 32460491 34677643 38455417 42681287 45958913 50441521 51009343 60283769 92239217 94731637 109367951 129253033 144947341 171301403 190125733 203111909 227223437 269187919 298769009 321712391 353090647 357065401 421986383 554856731 663121459 1014631387 1199109821 1330880131 1421783363 1884315433 2091383063 2471634529 2499457807 2953904681 3883997117 4641850213 9316160917 13190208031 14639681441 17301441703 27187979819 32492951491 102477770087 121110091921 190315858733 1332211011131