Search a number
-
+
13121113231200 = 2535213420548501
BaseRepresentation
bin1011111011101111111101…
…0010110000111101100000
31201110100212221102010220010
42332323333102300331200
53204434014441344300
643523431201244520
72522653263154662
oct276737722607540
951410787363803
1013121113231200
1141a96a63969a7
12157ab62333740
137424146a6970
143350cb152532
1517b49c238a50
hexbeeff4b0f60

13121113231200 has 144 divisors (see below), whose sum is σ = 45994548566736. Its totient is φ = 3229812480000.

The previous prime is 13121113231199. The next prime is 13121113231211. The reversal of 13121113231200 is 213231112131.

It is a super-3 number, since 3×131211132312003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210243051 + ... + 210305450.

It is an arithmetic number, because the mean of its divisors is an integer number (319406587269).

Almost surely, 213121113231200 is an apocalyptic number.

13121113231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121113231200 is an abundant number, since it is smaller than the sum of its proper divisors (32873435335536).

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

13121113231200 is a wasteful number, since it uses less digits than its factorization.

13121113231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420548537 (or 420548524 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13121113231200 its reverse (213231112131), we get a palindrome (13334344343331).

The spelling of 13121113231200 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirteen million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 420548501 841097002 1261645503 1682194004 2102742505 2523291006 3364388008 4205485010 5046582012 5467130513 6308227515 6728776016 8410970020 10093164024 10513712525 10934261026 12616455030 13457552032 16401391539 16821940040 20186328048 21027425050 21868522052 25232910060 27335652565 31541137575 32802783078 33643880080 40372656096 42054850100 43737044104 50465820120 54671305130 63082275150 65605566156 67287760160 82006957695 84109700200 87474088208 100931640240 109342610260 126164550300 131211132312 136678262825 164013915390 168219400400 174948176416 201863280480 218685220520 252329100600 262422264624 273356525650 328027830780 336438800800 410034788475 437370441040 504658201200 524844529248 546713051300 656055661560 820069576950 874740882080 1009316402400 1093426102600 1312111323120 1640139153900 2186852205200 2624222646240 3280278307800 4373704410400 6560556615600 13121113231200