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202131020133 = 3472927145361
BaseRepresentation
bin1011110000111111110…
…0101001100101100101
3201022201212011201120000
42330033330221211211
511302431020121013
6232505133131513
720413665215460
oct2741774514545
9638655151500
10202131020133
11787a5767169
1233211329b99
13160a397b433
149ad71242d7
1553d05b7973
hex2f0ff29965

202131020133 has 80 divisors (see below), whose sum is σ = 358308994560. Its totient is φ = 111106598400.

The previous prime is 202131020123. The next prime is 202131020171. The reversal of 202131020133 is 331020131202.

202131020133 is a `hidden beast` number, since 202 + 1 + 310 + 20 + 133 = 666.

It is not a de Polignac number, because 202131020133 - 210 = 202131019109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202131020123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4433373 + ... + 4478733.

It is an arithmetic number, because the mean of its divisors is an integer number (4478862432).

Almost surely, 2202131020133 is an apocalyptic number.

It is an amenable number.

202131020133 is a deficient number, since it is larger than the sum of its proper divisors (156177974427).

202131020133 is a wasteful number, since it uses less digits than its factorization.

202131020133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45680 (or 45671 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 202131020133 its reverse (331020131202), we get a palindrome (533151151335).

The spelling of 202131020133 in words is "two hundred two billion, one hundred thirty-one million, twenty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 271 567 609 783 813 1827 1897 2349 2439 5481 5691 7317 7859 16443 17073 21951 23577 45361 51219 55013 70731 136083 153657 165039 212193 317527 408249 495117 636579 952581 1224747 1315469 1485351 2857743 3674241 3946407 4456053 8573229 9208283 11839221 12292831 25719687 27624849 35517663 36878493 82874547 86049817 106552989 110635479 248623641 258149451 331906437 356492099 745870923 774448353 995719311 1069476297 2323345059 2495444693 3208428891 6970035177 7486334079 9625286673 22459002237 28875860019 67377006711 202131020133