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131201421200320 = 2652692657573647
BaseRepresentation
bin11101110101001110110110…
…000110101100101111000000
3122012112201210121221212002011
4131311032312012230233000
5114144101002311402240
61143013033435502304
736430663345335622
oct3565166606545700
9565481717855064
10131201421200320
1138894234943139
121286b86a5b7994
135829319432213
14245827b356c12
151027cb3e156ea
hex7753b61acbc0

131201421200320 has 112 divisors (see below), whose sum is σ = 313703378444160. Its totient is φ = 52265703931904.

The previous prime is 131201421200251. The next prime is 131201421200357. The reversal of 131201421200320 is 23002124102131.

It is a junction number, because it is equal to n+sod(n) for n = 131201421200291 and 131201421200300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228427737 + ... + 229001383.

Almost surely, 2131201421200320 is an apocalyptic number.

131201421200320 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 131201421200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156851689222080).

131201421200320 is an abundant number, since it is smaller than the sum of its proper divisors (182501957243840).

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

131201421200320 is a wasteful number, since it uses less digits than its factorization.

131201421200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576590 (or 576580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131201421200320 its reverse (23002124102131), we get a palindrome (154203545302451).

The spelling of 131201421200320 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred twenty-one million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 269 320 538 1076 1345 2152 2657 2690 4304 5314 5380 8608 10628 10760 13285 17216 21256 21520 26570 42512 43040 53140 85024 86080 106280 170048 212560 425120 573647 714733 850240 1147294 1429466 2294588 2858932 2868235 3573665 4589176 5717864 5736470 7147330 9178352 11435728 11472940 14294660 18356704 22871456 22945880 28589320 36713408 45742912 45891760 57178640 91783520 114357280 154311043 183567040 228714560 308622086 617244172 771555215 1234488344 1524180079 1543110430 2468976688 3048360158 3086220860 4937953376 6096720316 6172441720 7620900395 9875906752 12193440632 12344883440 15241800790 24386881264 24689766880 30483601580 48773762528 49379533760 60967203160 97547525056 121934406320 243868812640 410004441251 487737625280 820008882502 1640017765004 2050022206255 3280035530008 4100044412510 6560071060016 8200088825020 13120142120032 16400177650040 26240284240064 32800355300080 65600710600160 131201421200320