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13132122113300 = 2252412383203971
BaseRepresentation
bin1011111100011000111101…
…1110010100010100010100
31201111102022011120022002012
42333012033132110110110
53210124041230111200
643532451424003352
72523523141133111
oct277061736242424
951442264508065
1013132122113300
114203335640a73
121581115160558
1374347a3c1098
14335853295908
1517b8e397ea35
hexbf18f794514

13132122113300 has 108 divisors (see below), whose sum is σ = 29285105299968. Its totient is φ = 5111325024000.

The previous prime is 13132122113267. The next prime is 13132122113359. The reversal of 13132122113300 is 331122123131.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 64280315 + ... + 64484285.

Almost surely, 213132122113300 is an apocalyptic number.

13132122113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132122113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642552649984).

13132122113300 is an abundant number, since it is smaller than the sum of its proper divisors (16152983186668).

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

13132122113300 is a wasteful number, since it uses less digits than its factorization.

13132122113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204450 (or 204402 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13132122113300 its reverse (331122123131), we get a palindrome (13463244236431).

The spelling of 13132122113300 in words is "thirteen trillion, one hundred thirty-two billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 383 410 766 820 1025 1532 1681 1915 2050 3362 3830 4100 6724 7660 8405 9575 15703 16810 19150 31406 33620 38300 42025 62812 78515 84050 157030 168100 203971 314060 392575 407942 643823 785150 815884 1019855 1287646 1570300 2039710 2575292 3219115 4079420 5099275 6438230 8362811 10198550 12876460 16095575 16725622 20397100 32191150 33451244 41814055 64382300 78120893 83628110 156241786 167256220 209070275 312483572 342875251 390604465 418140550 685750502 781208930 836281100 1371501004 1562417860 1714376255 1953022325 3202956613 3428752510 3906044650 6405913226 6857505020 7812089300 8571881275 12811826452 16014783065 17143762550 32029566130 34287525100 64059132260 80073915325 131321221133 160147830650 262642442266 320295661300 525284884532 656606105665 1313212211330 2626424422660 3283030528325 6566061056650 13132122113300