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10114250442331 = 719313722776469
BaseRepresentation
bin1001001100101110100001…
…0011100000011001011011
31022210220122111121001221111
42103023220103200121123
52311202441103123311
633302231132321151
72062505361155020
oct223135023403133
938726574531844
1010114250442331
11324a47a773392
1211742620131b7
13584a01112959
1426d764a19547
15128165280d21
hex932e84e065b

10114250442331 has 96 divisors (see below), whose sum is σ = 12957258854400. Its totient is φ = 7704213834240.

The previous prime is 10114250442323. The next prime is 10114250442343. The reversal of 10114250442331 is 13324405241101.

It is a happy number.

It is not a de Polignac number, because 10114250442331 - 23 = 10114250442323 is a prime.

It is a super-2 number, since 2×101142504423312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 10114250442293 and 10114250442302.

It is not an unprimeable number, because it can be changed into a prime (10114250442431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1563491965 + ... + 1563498433.

It is an arithmetic number, because the mean of its divisors is an integer number (134971446400).

Almost surely, 210114250442331 is an apocalyptic number.

10114250442331 is a deficient number, since it is larger than the sum of its proper divisors (2843008412069).

10114250442331 is a wasteful number, since it uses less digits than its factorization.

10114250442331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 10114250442331 its reverse (13324405241101), we get a palindrome (23438655683432).

The spelling of 10114250442331 in words is "ten trillion, one hundred fourteen billion, two hundred fifty million, four hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 7 19 31 37 133 217 259 277 589 703 1147 1369 1939 4123 4921 5263 6469 8029 8587 9583 10249 21793 26011 36841 42439 45283 60109 71743 122911 152551 163153 182077 194731 200539 239353 297073 317719 379213 806341 860377 1142071 1363117 1403773 1675471 1791913 2224033 2654491 3810241 4547707 5644387 6036661 7205047 7419943 8856061 11755603 12543391 26671687 31833949 34046347 42256627 50435329 51939601 55549303 61992427 66300781 82289221 140978917 168265159 223356457 238324429 274537891 388845121 464105467 986852419 1055436757 1177856113 1259714839 1563495199 1921765237 2055324211 2453128897 5216219929 7388057299 8818003873 14387269477 17171902279 36513539503 39051160009 46609449043 76046995807 273358120063 326266143301 532328970649 1444892920333 10114250442331