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1982081280231 = 3213210120296359
BaseRepresentation
bin11100110101111101010…
…000000010100011100111
321000111002122121120110100
4130311331100002203213
5224433300301431411
64114320000355143
7263125551620403
oct34657520024347
97014078546410
101982081280231
116a4661234478
12280183015ab3
13114ba9121b00
146bd0cb80103
1536859d2c456
hex1cd7d4028e7

1982081280231 has 72 divisors (see below), whose sum is σ = 3132908906400. Its totient is φ = 1206880646400.

The previous prime is 1982081280197. The next prime is 1982081280259. The reversal of 1982081280231 is 1320821802891.

1982081280231 is a `hidden beast` number, since 1 + 98 + 208 + 128 + 0 + 231 = 666.

It is not a de Polignac number, because 1982081280231 - 215 = 1982081247463 is a prime.

It is a super-2 number, since 2×19820812802312 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982081280281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311693830 + ... + 311700188.

It is an arithmetic number, because the mean of its divisors is an integer number (43512623700).

Almost surely, 21982081280231 is an apocalyptic number.

1982081280231 is a deficient number, since it is larger than the sum of its proper divisors (1150827626169).

1982081280231 is a wasteful number, since it uses less digits than its factorization.

1982081280231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8521 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1982081280231 in words is "one trillion, nine hundred eighty-two billion, eighty-one million, two hundred eighty thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 101 117 169 303 507 909 1313 1521 2029 3939 6087 6359 11817 17069 18261 19077 26377 51207 57231 79131 82667 153621 204929 237393 248001 342901 614787 642259 744003 1028703 1074671 1844361 1926777 2664077 3086109 3224013 5780331 7992231 8349367 9672039 12902411 23976693 25048101 34633001 38707233 75144303 103899003 108541771 116121699 167731343 311697009 325625313 503194029 976875939 1303143511 1509582087 2180507459 3909430533 6541522377 11728291599 16940865643 19624567131 50822596929 152467790787 220231253359 660693760077 1982081280231