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133010210100 = 223524310310869
BaseRepresentation
bin111101111100000000…
…1101011110100110100
3110201022201011202120210
41323320001223310310
54134401103210400
6141034250225420
712416055063045
oct1737001536464
9421281152523
10133010210100
1151455883579
1221940a25270
13c709722441
14661b1ac8cc
1536d7272950
hex1ef806bd34

133010210100 has 72 divisors (see below), whose sum is σ = 393792747040. Its totient is φ = 34644516480.

The previous prime is 133010210083. The next prime is 133010210107. The reversal of 133010210100 is 1012010331.

133010210100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1330102101002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133010210107) 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, 5142535 + ... + 5168334.

Almost surely, 2133010210100 is an apocalyptic number.

133010210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133010210100 is an abundant number, since it is smaller than the sum of its proper divisors (260782536940).

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

133010210100 is a wasteful number, since it uses less digits than its factorization.

133010210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10310929 (or 10310922 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 133010210100 its reverse (1012010331), we get a palindrome (134022220431).

The spelling of 133010210100 in words is "one hundred thirty-three billion, ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 10310869 20621738 30932607 41243476 51554345 61865214 103108690 123730428 154663035 206217380 257771725 309326070 443367367 515543450 618652140 773315175 886734734 1031086900 1330102101 1546630350 1773469468 2216836835 2660204202 3093260700 4433673670 5320408404 6650510505 8867347340 11084184175 13301021010 22168368350 26602042020 33252552525 44336736700 66505105050 133010210100