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2111032020312 = 2332178112126633
BaseRepresentation
bin11110101110000011010…
…100000100110101011000
321110210221110011220001200
4132232003110010311120
5234041343144122222
64253443354314200
7305342225051055
oct36560324046530
97423843156050
102111032020312
117443135a5046
122a1170428960
131240b97ccb87
1474262b5802c
1539da59cdeac
hex1eb83504d58

2111032020312 has 96 divisors (see below), whose sum is σ = 6061162096080. Its totient is φ = 661467617280.

The previous prime is 2111032020299. The next prime is 2111032020323. The reversal of 2111032020312 is 2130202301112.

2111032020312 is a `hidden beast` number, since 2 + 1 + 1 + 10 + 320 + 20 + 312 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70653 + ... + 2055980.

Almost surely, 22111032020312 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 2111032020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030581048040).

2111032020312 is an abundant number, since it is smaller than the sum of its proper divisors (3950130075768).

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

2111032020312 is a wasteful number, since it uses less digits than its factorization.

2111032020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127473 (or 2127466 counting only the distinct ones).

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

Adding to 2111032020312 its reverse (2130202301112), we get a palindrome (4241234321424).

The spelling of 2111032020312 in words is "two trillion, one hundred eleven billion, thirty-two million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 811 1224 1622 2433 3244 4866 6488 7299 9732 13787 14598 19464 27574 29196 41361 55148 58392 82722 110296 124083 165444 248166 330888 496332 992664 2126633 4253266 6379899 8506532 12759798 17013064 19139697 25519596 36152761 38279394 51039192 72305522 76558788 108458283 144611044 153117576 216916566 289222088 325374849 433833132 650749698 867666264 1301499396 1724699363 2602998792 3449398726 5174098089 6898797452 10348196178 13797594904 15522294267 20696392356 29319889171 31044588534 41392784712 58639778342 62089177068 87959667513 117279556684 124178354136 175919335026 234559113368 263879002539 351838670052 527758005078 703677340104 1055516010156 2111032020312