Search a number
-
+
2002112130132 = 2233231443755829
BaseRepresentation
bin11101001000100111001…
…011101010110001010100
321002101210122012011211000
4131020213023222301110
5230300311201131012
64131431351143300
7264435130212612
oct35104713526124
97071718164730
102002112130132
11702100114484
12284033374b30
13116a4c00b50a
146cc8d1b66b2
153712d63dddc
hex1d2272eac54

2002112130132 has 96 divisors (see below), whose sum is σ = 5416814188800. Its totient is φ = 638298942336.

The previous prime is 2002112130097. The next prime is 2002112130167. The reversal of 2002112130132 is 2310312112002.

It is an interprime number because it is at equal distance from previous prime (2002112130097) and next prime (2002112130167).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35833594 + ... + 35889422.

It is an arithmetic number, because the mean of its divisors is an integer number (56425147800).

Almost surely, 22002112130132 is an apocalyptic number.

It is an amenable number.

2002112130132 is an abundant number, since it is smaller than the sum of its proper divisors (3414702058668).

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

2002112130132 is a wasteful number, since it uses less digits than its factorization.

2002112130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70302 (or 70294 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002112130132 its reverse (2310312112002), we get a palindrome (4312424242134).

The spelling of 2002112130132 in words is "two trillion, two billion, one hundred twelve million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 14437 28874 43311 55829 57748 86622 111658 129933 167487 173244 223316 259866 332051 334974 389799 502461 519732 664102 669948 779598 996153 1004922 1284067 1328204 1507383 1559196 1992306 2009844 2568134 2988459 3014766 3852201 3984612 5136268 5976918 6029532 7704402 8965377 11556603 11953836 15408804 17930754 23113206 34669809 35861508 46226412 69339618 138679236 806003273 1612006546 2418009819 3224013092 4836019638 7254029457 9672039276 14508058914 18538075279 21762088371 29016117828 37076150558 43524176742 55614225837 74152301116 87048353484 111228451674 166842677511 222456903348 333685355022 500528032533 667370710044 1001056065066 2002112130132