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201034231002 = 2321113722932363
BaseRepresentation
bin1011101100111010010…
…0101110110011011010
3201012220102101001201100
42323032210232303122
511243204230343002
6232204233132230
720344546524513
oct2731644566332
9635812331640
10201034231002
1178292645270
1232b65b5a076
1315c5a683097
149a315bda0a
15536916811c
hex2ece92ecda

201034231002 has 96 divisors (see below), whose sum is σ = 480745212480. Its totient is φ = 60208853760.

The previous prime is 201034230977. The next prime is 201034231003. The reversal of 201034231002 is 200132430102.

201034231002 is a `hidden beast` number, since 2 + 0 + 10 + 342 + 310 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201034231003) 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, 6195673 + ... + 6228035.

It is an arithmetic number, because the mean of its divisors is an integer number (5007762630).

Almost surely, 2201034231002 is an apocalyptic number.

201034231002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201034231002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240372606240).

201034231002 is an abundant number, since it is smaller than the sum of its proper divisors (279710981478).

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

201034231002 is a wasteful number, since it uses less digits than its factorization.

201034231002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32748 (or 32745 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201034231002 its reverse (200132430102), we get a palindrome (401166661104).

Subtracting from 201034231002 its reverse (200132430102), we obtain a square (901800900 = 300302).

The spelling of 201034231002 in words is "two hundred one billion, thirty-four million, two hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 229 274 411 458 687 822 1233 1374 1507 2061 2466 2519 3014 4122 4521 5038 7557 9042 13563 15114 22671 27126 31373 32363 45342 62746 64726 94119 97089 188238 194178 282357 291267 345103 355993 564714 582534 690206 711986 1035309 1067979 2070618 2135958 3105927 3203937 4433731 6211854 6407874 7411127 8867462 13301193 14822254 22233381 26602386 39903579 44466762 48771041 66700143 79807158 81522397 97542082 133400286 146313123 163044794 244567191 292626246 438939369 489134382 733701573 877878738 1015324399 1467403146 2030648798 3045973197 6091946394 9137919591 11168568389 18275839182 22337136778 33505705167 67011410334 100517115501 201034231002