Search a number
-
+
2130103111424 = 28139163443829
BaseRepresentation
bin11110111111110100000…
…010100000111100000000
321112122011112210200212112
4132333310002200330000
5234344422344031144
64310320022114452
7306615640463561
oct36776402407400
97478145720775
102130103111424
1175140a747072
122a49b327ba28
13125b388cb982
147515191a168
153a61ee0c99e
hex1eff40a0f00

2130103111424 has 144 divisors (see below), whose sum is σ = 4323683011200. Its totient is φ = 1047265210368.

The previous prime is 2130103111417. The next prime is 2130103111483. The reversal of 2130103111424 is 4241113010312.

It is a self number, because there is not a number n which added to its sum of digits gives 2130103111424.

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 15 ways as a sum of consecutive naturals, for example, 2569484642 + ... + 2569485470.

Almost surely, 22130103111424 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 2130103111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161841505600).

2130103111424 is an abundant number, since it is smaller than the sum of its proper divisors (2193579899776).

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

2130103111424 is a wasteful number, since it uses less digits than its factorization.

2130103111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 2130103111424 its reverse (4241113010312), we get a palindrome (6371216121736).

The spelling of 2130103111424 in words is "two trillion, one hundred thirty billion, one hundred three million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 139 163 256 278 326 443 556 652 829 886 1112 1304 1658 1772 2224 2608 3316 3544 4448 5216 6632 7088 8896 10432 13264 14176 17792 20864 22657 26528 28352 35584 41728 45314 53056 56704 61577 72209 90628 106112 113408 115231 123154 135127 144418 181256 212224 230462 246308 270254 288836 362512 367247 460924 492616 540508 577672 725024 734494 921848 985232 1081016 1155344 1450048 1468988 1843696 1970464 2162032 2310688 2900096 2937976 3687392 3940928 4324064 4621376 5800192 5875952 7374784 7881856 8648128 9242752 10037051 11751904 14749568 15763712 17296256 18485504 18782653 20074102 23503808 29499136 34592512 37565306 40148204 47007616 51047333 59861261 75130612 80296408 94015232 102094666 119722522 150261224 160592816 204189332 239445044 300522448 321185632 408378664 478890088 601044896 642371264 816757328 957780176 1202089792 1284742528 1633514656 1915560352 2404179584 2569485056 3267029312 3831120704 4808359168 6534058624 7662241408 8320715279 13068117248 15324482816 16641430558 33282861116 66565722232 133131444464 266262888928 532525777856 1065051555712 2130103111424