Search a number
-
+
10220112103302 = 23210714935613373
BaseRepresentation
bin1001010010111000111000…
…1001101100011110000110
31100012000220011222122101200
42110232032021230132012
52314421242144301202
633423015451203330
72103243622350063
oct224561611543606
940160804878350
1010220112103302
1132903639320a2
121190886a46546
135919a2142b2a
14274928357c6a
1512acaddc8e1c
hex94b8e26c786

10220112103302 has 48 divisors (see below), whose sum is σ = 22500529693200. Its totient is φ = 3352215479616.

The previous prime is 10220112103217. The next prime is 10220112103303. The reversal of 10220112103302 is 20330121102201.

10220112103302 is a `hidden beast` number, since 1 + 0 + 220 + 112 + 1 + 0 + 330 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220112103303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17519713 + ... + 18093660.

It is an arithmetic number, because the mean of its divisors is an integer number (468761035275).

Almost surely, 210220112103302 is an apocalyptic number.

10220112103302 is an abundant number, since it is smaller than the sum of its proper divisors (12280417589898).

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

10220112103302 is a wasteful number, since it uses less digits than its factorization.

10220112103302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35613637 (or 35613634 counting only the distinct ones).

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

Adding to 10220112103302 its reverse (20330121102201), we get a palindrome (30550233205503).

The spelling of 10220112103302 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, one hundred three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 107 149 214 298 321 447 642 894 963 1341 1926 2682 15943 31886 47829 95658 143487 286974 35613373 71226746 106840119 213680238 320520357 641040714 3810630911 5306392577 7621261822 10612785154 11431892733 15919177731 22863785466 31838355462 34295678199 47757533193 68591356398 95515066386 567784005739 1135568011478 1703352017217 3406704034434 5110056051651 10220112103302