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131312100231200 = 2552723448589327
BaseRepresentation
bin11101110110110101111011…
…000101101100100000100000
3122012221022111001002011201002
4131312311323011230200200
5114202404140124344300
61143135540203331132
736441662153514140
oct3566657305544040
9565838431064632
10131312100231200
1138927170310199
12128891b8820aa8
1358368a7508c35
14245d77a7b6920
15102aae093c5d5
hex776d7b16c820

131312100231200 has 72 divisors (see below), whose sum is σ = 366360759660672. Its totient is φ = 45021291505920.

The previous prime is 131312100231149. The next prime is 131312100231229. The reversal of 131312100231200 is 2132001213131.

It is a happy number.

131312100231200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11724289064 + ... + 11724300263.

It is an arithmetic number, because the mean of its divisors is an integer number (5088343884176).

Almost surely, 2131312100231200 is an apocalyptic number.

131312100231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131312100231200 is an abundant number, since it is smaller than the sum of its proper divisors (235048659429472).

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

131312100231200 is a wasteful number, since it uses less digits than its factorization.

131312100231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23448589354 (or 23448589341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131312100231200 its reverse (2132001213131), we get a palindrome (133444101444331).

The spelling of 131312100231200 in words is "one hundred thirty-one trillion, three hundred twelve billion, one hundred million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 23448589327 46897178654 93794357308 117242946635 164140125289 187588714616 234485893270 328280250578 375177429232 468971786540 586214733175 656560501156 750354858464 820700626445 937943573080 1172429466350 1313121002312 1641401252890 1875887146160 2344858932700 2626242004624 3282802505780 3751774292320 4103503132225 4689717865400 5252484009248 6565605011560 8207006264450 9379435730800 13131210023120 16414012528900 18758871461600 26262420046240 32828025057800 65656050115600 131312100231200