Search a number
-
+
2001232123002 = 232724335240117
BaseRepresentation
bin11101000111110010101…
…110101101010001111010
321002022112022022011222100
4131013302232231101322
5230242010410414002
64131204153404230
7264404253243300
oct35076256552172
97068468264870
102001232123002
117017993a8062
12283a28709676
1311693b8c4c38
146cc08382270
15370cb26111c
hex1d1f2bad47a

2001232123002 has 72 divisors (see below), whose sum is σ = 5055571524276. Its totient is φ = 570459988224.

The previous prime is 2001232122997. The next prime is 2001232123021. The reversal of 2001232123002 is 2003212321002.

2001232123002 is a `hidden beast` number, since 200 + 1 + 232 + 1 + 230 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1908268722801 + 92963400201 = 1381401^2 + 304899^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2238153 + ... + 3001964.

Almost surely, 22001232123002 is an apocalyptic number.

2001232123002 is an abundant number, since it is smaller than the sum of its proper divisors (3054339401274).

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

2001232123002 is a wasteful number, since it uses less digits than its factorization.

2001232123002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240572 (or 5240562 counting only the distinct ones).

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

Adding to 2001232123002 its reverse (2003212321002), we get a palindrome (4004444444004).

The spelling of 2001232123002 in words is "two trillion, one billion, two hundred thirty-two million, one hundred twenty-three thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 433 441 866 882 1299 2598 3031 3897 6062 7794 9093 18186 21217 27279 42434 54558 63651 127302 190953 381906 5240117 10480234 15720351 31440702 36680819 47161053 73361638 94322106 110042457 220084914 256765733 330127371 513531466 660254742 770297199 1540594398 2268970661 2310891597 4537941322 4621783194 6806911983 13613823966 15882794627 20420735949 31765589254 40841471898 47648383881 95296767762 111179562389 142945151643 222359124778 285890303286 333538687167 667077374334 1000616061501 2001232123002