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10122133330233 = 3229391269730139
BaseRepresentation
bin1001001101001011111000…
…1010010101100100111001
31022211122222212122021020200
42103102332022111210321
52311320112113031413
633310013250112413
72063204620462341
oct223227612254471
938748885567220
1010122133330233
113252855421781
1211758a1b7b709
13585689300472
1426dcb1919d21
15128477346573
hex934be295939

10122133330233 has 24 divisors (see below), whose sum is σ = 14627471258400. Its totient is φ = 6745037742144.

The previous prime is 10122133330213. The next prime is 10122133330241. The reversal of 10122133330233 is 33203333122101.

10122133330233 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 21 + 333 + 302 + 3 + 3 = 666.

10122133330233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122133330233 - 241 = 7923110074681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122133330197 and 10122133330206.

It is not an unprimeable number, because it can be changed into a prime (10122133330213) 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, 335833278 + ... + 335863416.

It is an arithmetic number, because the mean of its divisors is an integer number (609477969100).

Almost surely, 210122133330233 is an apocalyptic number.

It is an amenable number.

10122133330233 is a deficient number, since it is larger than the sum of its proper divisors (4505337928167).

10122133330233 is a wasteful number, since it uses less digits than its factorization.

10122133330233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45781 (or 45778 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10122133330233 its reverse (33203333122101), we get a palindrome (43325466452334).

The spelling of 10122133330233 in words is "ten trillion, one hundred twenty-two billion, one hundred thirty-three million, three hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 2939 8817 12697 26451 30139 38091 90417 114273 271251 37316483 88578521 111949449 265735563 335848347 382674883 797206689 1148024649 3444073947 1124681481137 3374044443411 10122133330233