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131302201200 = 24352127861563
BaseRepresentation
bin111101001001000111…
…0001001011101110000
3110112220200020220211220
41322102032021131300
54122401330414300
6140152553505040
712325535203212
oct1722216113560
9415820226756
10131302201200
1150759740175
1221544a12180
13c4c69006a1
1464d84005b2
15363733ada0
hex1e92389770

131302201200 has 120 divisors (see below), whose sum is σ = 423917058048. Its totient is φ = 34738179840.

The previous prime is 131302201189. The next prime is 131302201201. The reversal of 131302201200 is 2102203131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131302201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131302201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278382 + ... + 583181.

Almost surely, 2131302201200 is an apocalyptic number.

131302201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131302201200 is an abundant number, since it is smaller than the sum of its proper divisors (292614856848).

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

131302201200 is a wasteful number, since it uses less digits than its factorization.

131302201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861711 (or 861700 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131302201200 its reverse (2102203131), we get a palindrome (133404404331).

The spelling of 131302201200 in words is "one hundred thirty-one billion, three hundred two million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 127 150 200 240 254 300 381 400 508 600 635 762 1016 1200 1270 1524 1905 2032 2540 3048 3175 3810 5080 6096 6350 7620 9525 10160 12700 15240 19050 25400 30480 38100 50800 76200 152400 861563 1723126 2584689 3446252 4307815 5169378 6892504 8615630 10338756 12923445 13785008 17231260 20677512 21539075 25846890 34462520 41355024 43078150 51693780 64617225 68925040 86156300 103387560 109418501 129234450 172312600 206775120 218837002 258468900 328255503 344625200 437674004 516937800 547092505 656511006 875348008 1033875600 1094185010 1313022012 1641277515 1750696016 2188370020 2626044024 2735462525 3282555030 4376740040 5252088048 5470925050 6565110060 8206387575 8753480080 10941850100 13130220120 16412775150 21883700200 26260440240 32825550300 43767400400 65651100600 131302201200