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2133120202131 = 329311111371171
BaseRepresentation
bin11111000010100111110…
…111110011010110010011
321112220221210222210020210
4133002213313303112103
5234422112232432011
64311535240535203
7310053464360442
oct37024767632623
97486853883223
102133120202131
1175271881aa66
122a54b5781503
131261c99b8349
147535a4d0d59
153a749c2a6a6
hex1f0a7df3593

2133120202131 has 32 divisors (see below), whose sum is σ = 3037461534720. Its totient is φ = 1328612947200.

The previous prime is 2133120202093. The next prime is 2133120202159. The reversal of 2133120202131 is 1312020213312.

It is not a de Polignac number, because 2133120202131 - 26 = 2133120202067 is a prime.

It is a super-2 number, since 2×21331202021312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133120202098 and 2133120202107.

It is not an unprimeable number, because it can be changed into a prime (2133120602131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29936176 + ... + 30007346.

It is an arithmetic number, because the mean of its divisors is an integer number (94920672960).

Almost surely, 22133120202131 is an apocalyptic number.

2133120202131 is a deficient number, since it is larger than the sum of its proper divisors (904341332589).

2133120202131 is a wasteful number, since it uses less digits than its factorization.

2133120202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82347.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2133120202131 its reverse (1312020213312), we get a palindrome (3445140415443).

The spelling of 2133120202131 in words is "two trillion, one hundred thirty-three billion, one hundred twenty million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 29 31 87 93 899 2697 11113 33339 71171 213513 322277 344503 966831 1033509 2063959 2206301 6191877 6618903 9990587 29971761 63982729 191948187 790923323 2372769969 22936776367 24518623013 68810329101 73555869039 711040067377 2133120202131