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13140220211000 = 23531091089111069
BaseRepresentation
bin1011111100110111001000…
…1010000110111100111000
31201112012012112120021201122
42333031302022012330320
53210242132333223000
643540311150204412
72524230622623311
oct277156212067470
951465175507648
1013140220211000
1142068108206a3
1215827b51b3708
1374416b05cb7c
14335dc09b7608
1517bc198a6085
hexbf372286f38

13140220211000 has 128 divisors (see below), whose sum is σ = 31035860856000. Its totient is φ = 5206918464000.

The previous prime is 13140220210979. The next prime is 13140220211009. The reversal of 13140220211000 is 11202204131.

It is a self number, because there is not a number n which added to its sum of digits gives 13140220211000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140220211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187113466 + ... + 1187124534.

Almost surely, 213140220211000 is an apocalyptic number.

13140220211000 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 13140220211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15517930428000).

13140220211000 is an abundant number, since it is smaller than the sum of its proper divisors (17895640645000).

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

13140220211000 is a wasteful number, since it uses less digits than its factorization.

13140220211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22090 (or 22076 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 13140220211000 its reverse (11202204131), we get a palindrome (13151422415131).

The spelling of 13140220211000 in words is "thirteen trillion, one hundred forty billion, two hundred twenty million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2180 2725 4360 5450 10891 10900 11069 13625 21782 21800 22138 27250 43564 44276 54455 54500 55345 87128 88552 108910 109000 110690 217820 221380 272275 276725 435640 442760 544550 553450 1089100 1106900 1187119 1206521 1361375 1383625 2178200 2213800 2374238 2413042 2722750 2767250 4748476 4826084 5445500 5534500 5935595 6032605 9496952 9652168 10891000 11069000 11871190 12065210 23742380 24130420 29677975 30163025 47484760 48260840 59355950 60326050 118711900 120552479 120652100 148389875 150815125 237423800 241104958 241304200 296779750 301630250 482209916 593559500 602762395 603260500 964419832 1187119000 1205524790 1206521000 2411049580 3013811975 4822099160 6027623950 12055247900 13140220211 15069059875 24110495800 26280440422 30138119750 52560880844 60276239500 65701101055 105121761688 120552479000 131402202110 262804404220 328505505275 525608808440 657011010550 1314022021100 1642527526375 2628044042200 3285055052750 6570110105500 13140220211000