Search a number
-
+
3023305040133 = 3271715118694573
BaseRepresentation
bin101011111111101011000…
…001011110000100000101
3101201000200022210222102200
4223333223001132010011
5344013212042241013
610232515343225113
7431266213554360
oct53775301360405
911630608728380
103023305040133
11a661a3972324
12409b2a8a8199
1318c133b62c91
14a648610b0d7
155399a70ae73
hex2bfeb05e105

3023305040133 has 48 divisors (see below), whose sum is σ = 5319428864256. Its totient is φ = 1615211020800.

The previous prime is 3023305040111. The next prime is 3023305040143. The reversal of 3023305040133 is 3310405033203.

It is a happy number.

3023305040133 is a `hidden beast` number, since 3 + 0 + 23 + 3 + 0 + 504 + 0 + 133 = 666.

It is not a de Polignac number, because 3023305040133 - 214 = 3023305023749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3023305040097 and 3023305040106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023305040143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9185566 + ... + 9509007.

It is an arithmetic number, because the mean of its divisors is an integer number (110821434672).

Almost surely, 23023305040133 is an apocalyptic number.

It is an amenable number.

3023305040133 is a deficient number, since it is larger than the sum of its proper divisors (2296123824123).

3023305040133 is a wasteful number, since it uses less digits than its factorization.

3023305040133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18694754 (or 18694751 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The spelling of 3023305040133 in words is "three trillion, twenty-three billion, three hundred five million, forty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 17 21 51 63 119 151 153 357 453 1057 1071 1359 2567 3171 7701 9513 17969 23103 53907 161721 18694573 56083719 130862011 168251157 317807741 392586033 953423223 1177758099 2224654187 2822880523 2860269669 6673962561 8468641569 19760163661 20021887683 25405924707 47988968891 59280490983 143966906673 177841472949 335922782237 431900720019 1007768346711 3023305040133