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201130211331 = 32723210159753
BaseRepresentation
bin1011101101010001001…
…0110111100000000011
3201020011002222100222100
42323110102313200003
511243403313230311
6232221542241443
720350123405530
oct2732422674003
9636132870870
10201130211331
1178331840755
1232b92126283
1315c7451a08a
149a40245d87
1553727c6a56
hex2ed44b7803

201130211331 has 72 divisors (see below), whose sum is σ = 350530348896. Its totient is φ = 108844243200.

The previous prime is 201130211329. The next prime is 201130211339. The reversal of 201130211331 is 133112031102.

201130211331 is a `hidden beast` number, since 20 + 1 + 1 + 302 + 11 + 331 = 666.

It is not a de Polignac number, because 201130211331 - 21 = 201130211329 is a prime.

It is a super-2 number, since 2×2011302113312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201130211339) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3336151 + ... + 3395903.

It is an arithmetic number, because the mean of its divisors is an integer number (4868477068).

Almost surely, 2201130211331 is an apocalyptic number.

201130211331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201130211331 is a deficient number, since it is larger than the sum of its proper divisors (149400137565).

201130211331 is a wasteful number, since it uses less digits than its factorization.

201130211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59913 (or 59887 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201130211331 its reverse (133112031102), we get a palindrome (334242242433).

The spelling of 201130211331 in words is "two hundred one billion, one hundred thirty million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 23 63 69 101 161 207 303 483 529 707 909 1449 1587 2121 2323 3703 4761 6363 6969 11109 16261 20907 33327 48783 53429 59753 146349 160287 179259 374003 418271 480861 537777 1122009 1254813 1374319 3366027 3764439 4122957 6035053 9620233 12368871 18105159 28860699 31609337 42245371 54315477 86582097 94828011 126736113 138806219 221265359 284484033 380208339 416418657 663796077 971643533 1249255971 1991388231 2914930599 3192543037 8744791797 9577629111 22347801259 28732887333 67043403777 201130211331