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1232131302129 = 3713113131509599
BaseRepresentation
bin10001111011100000101…
…111111010001011110001
311100210100100102101020110
4101323200233322023301
5130141401103132004
62342011105531533
7155006235156510
oct21734057721361
94323310371213
101232131302129
114355a8aa8a42
1217a966343ba9
138c2603aa510
14438c7a4a677
15220b59b1589
hex11ee0bfa2f1

1232131302129 has 128 divisors (see below), whose sum is σ = 2062900224000. Its totient is φ = 636925685760.

The previous prime is 1232131302107. The next prime is 1232131302137. The reversal of 1232131302129 is 9212031312321.

It is not a de Polignac number, because 1232131302129 - 27 = 1232131302001 is a prime.

It is a super-2 number, since 2×12321313021292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1232131302096 and 1232131302105.

It is not an unprimeable number, because it can be changed into a prime (1232131302169) 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 127 ways as a sum of consecutive naturals, for example, 2056980172 + ... + 2056980770.

It is an arithmetic number, because the mean of its divisors is an integer number (16116408000).

Almost surely, 21232131302129 is an apocalyptic number.

It is an amenable number.

1232131302129 is a deficient number, since it is larger than the sum of its proper divisors (830768921871).

1232131302129 is a wasteful number, since it uses less digits than its factorization.

1232131302129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375.

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 1232131302129 in words is "one trillion, two hundred thirty-two billion, one hundred thirty-one million, three hundred two thousand, one hundred twenty-nine".

Divisors: 1 3 7 13 21 39 91 113 131 273 339 393 509 599 791 917 1469 1527 1703 1797 2373 2751 3563 4193 4407 5109 6617 7787 10283 10689 11921 12579 14803 19851 23361 30849 35763 44409 46319 54509 57517 66679 67687 78469 103621 138957 163527 172551 192439 200037 203061 235407 304891 310863 402619 466753 473809 549283 577317 747721 866827 879931 914673 1020097 1207857 1347073 1400259 1421427 1647849 2134237 2243163 2600481 2639793 3060291 3963583 4041219 5234047 6067789 6159517 6402711 7140679 7534727 8866997 11890749 15702141 18203367 18478551 21422037 22604181 26600991 27745081 34452683 39940721 52743089 62068979 83235243 97951451 103358049 115270961 119822163 158229267 186206937 241168781 279585047 293854353 345812883 447884879 519229373 685660157 723506343 806896727 838755141 1343654637 1557688119 2056980471 2420690181 3135194153 3634605611 4513301473 9405582459 10903816833 13539904419 31593110311 58672919149 94779330933 176018757447 410710434043 1232131302129