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131212444101210 = 23251988938628407
BaseRepresentation
bin11101110101011001000111…
…000111101110101001011010
3122012120210020211111020102200
4131311121013013232221122
5114144241041142214320
61143022055322511030
736431533453422123
oct3565310707565132
9565523224436380
10131212444101210
1138898980aa278a
1212871a26065476
13582a385017494
142458a052a904a
15102820b9ca290
hex7756471eea5a

131212444101210 has 96 divisors (see below), whose sum is σ = 359148164319360. Its totient is φ = 33144675617664.

The previous prime is 131212444101199. The next prime is 131212444101253. The reversal of 131212444101210 is 12101444212131.

131212444101210 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 2 + 4 + 441 + 0 + 1 + 210 = 666.

131212444101210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10892827 + ... + 19521233.

It is an arithmetic number, because the mean of its divisors is an integer number (3741126711660).

Almost surely, 2131212444101210 is an apocalyptic number.

131212444101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131212444101210 is an abundant number, since it is smaller than the sum of its proper divisors (227935720218150).

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

131212444101210 is a wasteful number, since it uses less digits than its factorization.

131212444101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637332 (or 8637329 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 131212444101210 its reverse (12101444212131), we get a palindrome (143313888313341).

The spelling of 131212444101210 in words is "one hundred thirty-one trillion, two hundred twelve billion, four hundred forty-four million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 8893 17786 26679 44465 53358 80037 88930 133395 160074 168967 266790 337934 400185 506901 800370 844835 1013802 1520703 1689670 2534505 3041406 5069010 7603515 8628407 15207030 17256814 25885221 43142035 51770442 77655663 86284070 129426105 155311326 163939733 258852210 327879466 388278315 491819199 776556630 819698665 983638398 1475457597 1639397330 2459095995 2950915194 4918191990 7377287985 14754575970 76732423451 153464846902 230197270353 383662117255 460394540706 690591811059 767324234510 1150986351765 1381183622118 1457916045569 2301972703530 2915832091138 3452959055295 4373748136707 6905918110590 7289580227845 8747496273414 13121244410121 14579160455690 21868740683535 26242488820242 43737481367070 65606222050605 131212444101210