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133033210020 = 223257310124293
BaseRepresentation
bin111101111100101100…
…1011011000010100100
3110201101022110021112200
41323321121123002210
54134423000210040
6141040431214500
712416454425154
oct1737131330244
9421338407480
10133033210020
1151467862777
1221948677430
13c711416169
146620278764
1536d92b7630
hex1ef965b0a4

133033210020 has 72 divisors (see below), whose sum is σ = 409061974776. Its totient is φ = 34989553152.

The previous prime is 133033210019. The next prime is 133033210097. The reversal of 133033210020 is 20012330331.

133033210020 is a `hidden beast` number, since 1 + 330 + 332 + 1 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3748378176 + 129284831844 = 61224^2 + 359562^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 133033209975 and 133033210002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5049007 + ... + 5075286.

Almost surely, 2133033210020 is an apocalyptic number.

133033210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133033210020 is an abundant number, since it is smaller than the sum of its proper divisors (276028764756).

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

133033210020 is a wasteful number, since it uses less digits than its factorization.

133033210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124381 (or 10124376 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133033210020 its reverse (20012330331), we get a palindrome (153045540351).

The spelling of 133033210020 in words is "one hundred thirty-three billion, thirty-three million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 10124293 20248586 30372879 40497172 50621465 60745758 91118637 101242930 121491516 151864395 182237274 202485860 303728790 364474548 455593185 607457580 739073389 911186370 1478146778 1822372740 2217220167 2956293556 3695366945 4434440334 6651660501 7390733890 8868880668 11086100835 13303321002 14781467780 22172201670 26606642004 33258302505 44344403340 66516605010 133033210020