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12200131010301 = 31329711318291399
BaseRepresentation
bin1011000110001001000001…
…1110011001111011111101
31121012022200002212210122020
42301202100132121323331
53044341332014312201
641540355100110353
72366300422355523
oct261422036317375
947168602783566
1012200131010301
113984056997a83
1214505732353b9
136a660cbbc340
143026bd244313
15162547b22a36
hexb1890799efd

12200131010301 has 128 divisors (see below), whose sum is σ = 18553328640000. Its totient is φ = 7078613068800.

The previous prime is 12200131010203. The next prime is 12200131010369. The reversal of 12200131010301 is 10301013100221.

It is a happy number.

It is not a de Polignac number, because 12200131010301 - 27 = 12200131010173 is a prime.

It is a super-2 number, since 2×122001310103012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200131030301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8720607600 + ... + 8720608998.

It is an arithmetic number, because the mean of its divisors is an integer number (144947880000).

Almost surely, 212200131010301 is an apocalyptic number.

It is an amenable number.

12200131010301 is a deficient number, since it is larger than the sum of its proper divisors (6353197629699).

12200131010301 is a wasteful number, since it uses less digits than its factorization.

12200131010301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12200131010301 its reverse (10301013100221), we get a palindrome (22501144110522).

The spelling of 12200131010301 in words is "twelve trillion, two hundred billion, one hundred thirty-one million, ten thousand, three hundred one".

Divisors: 1 3 13 29 39 71 87 131 213 377 393 829 923 1131 1399 1703 2059 2487 2769 3799 4197 5109 6177 9301 10777 11397 18187 24041 26767 27903 32331 40571 49387 54561 58859 72123 80301 99329 108599 120913 121713 148161 176577 183269 269729 297987 312533 325797 362739 527423 549807 765167 809187 937599 1159771 1291277 1411787 1582269 1706911 2295501 2382497 2880541 3149371 3479313 3506477 3873831 4235361 5120733 5314801 7147491 7710529 8641623 9448113 10519431 13012099 15077023 15944403 22189843 23131587 33633359 37447033 39036297 40941823 45231069 66569529 69092413 82343741 100236877 100900077 112341099 122825469 151930001 169157287 207277239 223605341 247031223 300710631 377350871 437233667 455790003 507471861 670816023 1070468633 1132052613 1311701001 1975090013 2387968489 2906869433 3211405899 4405970029 4905561323 5925270039 7163905467 8720608299 10787030071 13217910087 14716683969 31043590357 32361090213 57277610377 93130771071 140231390923 171832831131 312823872059 420694172769 938471616177 4066710336767 12200131010301