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132130023113011 = 741121393838543
BaseRepresentation
bin11110000010101111101011…
…000101111000000100110011
3122022211111200111021122110011
4132002233223011320010303
5114304304241404104021
61145003410013315351
736555036101350000
oct3602575305700463
9568744614248404
10132130023113011
1139112034474300
121299b825495b57
135895a66724401
14248b1ad2128a7
151042012452de1
hex782beb178133

132130023113011 has 120 divisors (see below), whose sum is σ = 171113884139520. Its totient is φ = 101938930299360.

The previous prime is 132130023112939. The next prime is 132130023113047. The reversal of 132130023113011 is 110311320031231.

It is not a de Polignac number, because 132130023113011 - 229 = 132129486242099 is a prime.

It is a super-2 number, since 2×1321300231130112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132130023113071) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15466462206 + ... + 15466470748.

It is an arithmetic number, because the mean of its divisors is an integer number (1425949034496).

Almost surely, 2132130023113011 is an apocalyptic number.

132130023113011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132130023113011 is a deficient number, since it is larger than the sum of its proper divisors (38983861026509).

132130023113011 is an equidigital number, since it uses as much as digits as its factorization.

132130023113011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9115 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 132130023113011 its reverse (110311320031231), we get a palindrome (242441343144242).

The spelling of 132130023113011 in words is "one hundred thirty-two trillion, one hundred thirty billion, twenty-three million, one hundred thirteen thousand, eleven".

Divisors: 1 7 11 49 77 121 139 343 383 539 847 973 1529 2401 2681 3773 4213 5929 6811 8543 10703 16819 18767 26411 29491 41503 46343 47677 53237 59801 74921 93973 117733 131369 206437 290521 324401 333739 372659 418607 524447 585607 657811 824131 919583 1033703 1187477 1445059 2270807 2608613 2930249 3271969 3671129 4099249 4604677 5768917 6441677 7235921 8312339 10115413 13062247 15895649 18260291 20511743 22903783 28694743 32232739 35991659 40382419 45091739 50651447 58186373 91435729 111269543 127822037 143684717 160326481 200863201 225629173 251941613 315642173 354560129 395908249 407304611 454803691 640050103 1005793019 1122285367 1406042407 1763591291 2209495211 2481920903 2771357743 2851132277 3183625837 4480350721 5002840601 7040551133 7855997569 12345139037 15466466477 19399504201 22285380859 31362455047 35019884207 49283857931 55031246611 86415973259 135796529407 155997666013 245139189449 344987005517 385218726277 950575705849 1091983662091 1715974326143 2696531083939 12011820283001 18875717587573 132130023113011