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133100023002303 = 37217333431565591
BaseRepresentation
bin11110010000110111000011…
…100101110011010010111111
3122110021020102110012112200210
4132100313003211303102333
5114421202321342033203
61151025150105323503
740015105435356300
oct3620670345632277
9573236373175623
10133100023002303
113945644808aa75
1212b17814496593
1359363805b9646
1424c210b1c27a7
15105c38506c803
hex790dc39734bf

133100023002303 has 48 divisors (see below), whose sum is σ = 207696394515456. Its totient is φ = 75594851317440.

The previous prime is 133100023002217. The next prime is 133100023002361. The reversal of 133100023002303 is 303200320001331.

It is not a de Polignac number, because 133100023002303 - 213 = 133100022994111 is a prime.

It is a super-2 number, since 2×1331000230023032 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 133100023002303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133100023002403) 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, 84233038 + ... + 85798628.

It is an arithmetic number, because the mean of its divisors is an integer number (4327008219072).

Almost surely, 2133100023002303 is an apocalyptic number.

133100023002303 is a deficient number, since it is larger than the sum of its proper divisors (74596371513153).

133100023002303 is a wasteful number, since it uses less digits than its factorization.

133100023002303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569124 (or 1569117 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 133100023002303 its reverse (303200320001331), we get a palindrome (436300343003634).

The spelling of 133100023002303 in words is "one hundred thirty-three trillion, one hundred billion, twenty-three million, two thousand, three hundred three".

Divisors: 1 3 7 21 49 147 173 519 1211 3343 3633 8477 10029 23401 25431 70203 163807 491421 578339 1565591 1735017 4048373 4696773 10959137 12145119 28338611 32877411 76713959 85015833 230141877 270847243 812541729 1895930701 5233770713 5687792103 13271514907 15701312139 36636394991 39814544721 109909184973 256454764937 769364294811 905442333349 2716327000047 6338096333443 19014289000329 44366674334101 133100023002303