Search a number
-
+
201140242116 = 2231117421212909
BaseRepresentation
bin1011101101010011100…
…1001000011011000100
3201020011210211222121220
42323110321020123010
511243413400221431
6232222541240340
720350304564022
oct2732471103304
9636153758556
10201140242116
1178337471a60
1232b955630b0
1315c7661c958
149a416d7712
155373608b96
hex2ed4e486c4

201140242116 has 96 divisors (see below), whose sum is σ = 543400824960. Its totient is φ = 57229670400.

The previous prime is 201140242111. The next prime is 201140242211. The reversal of 201140242116 is 611242041102.

It is not an unprimeable number, because it can be changed into a prime (201140242111) 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, 838270 + ... + 1051178.

It is an arithmetic number, because the mean of its divisors is an integer number (5660425260).

Almost surely, 2201140242116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201140242116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271700412480).

201140242116 is an abundant number, since it is smaller than the sum of its proper divisors (342260582844).

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

201140242116 is a wasteful number, since it uses less digits than its factorization.

201140242116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213365 (or 213363 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 201140242116 its reverse (611242041102), we get a palindrome (812382283218).

The spelling of 201140242116 in words is "two hundred one billion, one hundred forty million, two hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 421 561 748 842 1122 1263 1684 2244 2526 4631 5052 7157 9262 13893 14314 18524 21471 27786 28628 42942 55572 78727 85884 157454 212909 236181 314908 425818 472362 638727 851636 944724 1277454 2341999 2554908 3619453 4683998 7025997 7238906 9367996 10858359 14051994 14477812 21716718 28103988 39813983 43433436 79627966 89634689 119441949 159255932 179269378 238883898 268904067 358538756 477767796 537808134 985981579 1075616268 1523789713 1971963158 2957944737 3047579426 3943926316 4571369139 5915889474 6095158852 9142738278 11831778948 16761686843 18285476556 33523373686 50285060529 67046747372 100570121058 201140242116