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10102022313201 = 3371322031866331
BaseRepresentation
bin1001001100000000111101…
…1100111001010011110001
31022202202002022012202021000
42103000033130321103301
52311002420203010301
633252445513152213
72061563346606540
oct223001734712361
938682068182230
1010102022313201
113245275266a45
121171a0a9bb669
135838029255a0
1426cd249b6157
15127b9b99b786
hex9300f7394f1

10102022313201 has 64 divisors (see below), whose sum is σ = 18428012861440. Its totient is φ = 5326117623360.

The previous prime is 10102022313197. The next prime is 10102022313209. The reversal of 10102022313201 is 10231322020101.

10102022313201 is a `hidden beast` number, since 10 + 102 + 0 + 2 + 231 + 320 + 1 = 666.

It is not a de Polignac number, because 10102022313201 - 22 = 10102022313197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102022313209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4479606 + ... + 6345936.

It is an arithmetic number, because the mean of its divisors is an integer number (287937700960).

Almost surely, 210102022313201 is an apocalyptic number.

It is an amenable number.

10102022313201 is a deficient number, since it is larger than the sum of its proper divisors (8325990548239).

10102022313201 is a wasteful number, since it uses less digits than its factorization.

10102022313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868563 (or 1868557 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10102022313201 its reverse (10231322020101), we get a palindrome (20333344333302).

The spelling of 10102022313201 in words is "ten trillion, one hundred two billion, twenty-two million, three hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2203 2457 6609 15421 19827 28639 46263 59481 85917 138789 200473 257751 416367 601419 773253 1804257 1866331 5412771 5598993 13064317 16796979 24262303 39192951 50390937 72786909 117578853 169836121 218360727 352736559 509508363 655082181 1528525089 4111527193 4585575267 12334581579 28780690351 37003744737 53449853509 86342071053 111011234211 160349560527 259026213159 374148974563 481048681581 777078639477 1122446923689 1443146044743 3367340771067 10102022313201