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133003230232123 = 17192131373443533
BaseRepresentation
bin11110001111011100111010…
…010010101011111000111011
3122102220222120210112100122201
4132033130322102223320323
5114413111103414411443
61150512501312331031
740005111014402116
oct3617347222537073
9572828523470581
10133003230232123
1139419398096129
1212b00b00843a77
13592a1c63aa434
1424bb5680ad57d
151059abc6ad34d
hex78f73a4abe3b

133003230232123 has 48 divisors (see below), whose sum is σ = 150165418699296. Its totient is φ = 117370063549440.

The previous prime is 133003230232109. The next prime is 133003230232163. The reversal of 133003230232123 is 321232032300331.

It is not a de Polignac number, because 133003230232123 - 25 = 133003230232091 is a prime.

It is a super-2 number, since 2×1330032302321232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133003230232091 and 133003230232100.

It is not an unprimeable number, because it can be changed into a prime (133003230232163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299650465 + ... + 300093997.

It is an arithmetic number, because the mean of its divisors is an integer number (3128446222902).

Almost surely, 2133003230232123 is an apocalyptic number.

133003230232123 is a deficient number, since it is larger than the sum of its proper divisors (17162188467173).

133003230232123 is a wasteful number, since it uses less digits than its factorization.

133003230232123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444092 (or 444073 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 133003230232123 its reverse (321232032300331), we get a palindrome (454235262532454).

The spelling of 133003230232123 in words is "one hundred thirty-three trillion, three billion, two hundred thirty million, two hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 17 19 131 323 361 373 2227 2489 6137 6341 7087 42313 47291 48863 120479 134653 443533 803947 830671 928397 2289101 7540061 8427127 15782749 17639543 58102823 143261159 160115413 165437809 299872231 987747991 1103953637 2721962021 2812442753 3143318371 18767211829 20975119103 21672352979 53436412307 59723049049 356577024751 368430000643 411774706601 1015291833833 7000170012217 7823719425419 133003230232123