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2123242013412 = 22321331191766229
BaseRepresentation
bin11110111001011011000…
…101100000001011100100
321111222110101102210210100
4132321123011200023210
5234241344423412122
64303223125024100
7306253626222432
oct36713305401344
97458411383710
102123242013412
11749509844633
122a35b9555030
131252b430a370
1474aa05d9d52
153a36c8ceaac
hex1ee5b1602e4

2123242013412 has 144 divisors (see below), whose sum is σ = 5997631610880. Its totient is φ = 628919942400.

The previous prime is 2123242013393. The next prime is 2123242013413. The reversal of 2123242013412 is 2143102423212.

2123242013412 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 242 + 0 + 1 + 3 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (2123242013413) 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, 2387914 + ... + 3154142.

It is an arithmetic number, because the mean of its divisors is an integer number (41650219520).

Almost surely, 22123242013412 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 2123242013412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998815805440).

2123242013412 is an abundant number, since it is smaller than the sum of its proper divisors (3874389597468).

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

2123242013412 is a wasteful number, since it uses less digits than its factorization.

2123242013412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766474 (or 766469 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2123242013412 its reverse (2143102423212), we get a palindrome (4266344436624).

The spelling of 2123242013412 in words is "two trillion, one hundred twenty-three billion, two hundred forty-two million, thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 191 234 279 372 382 403 468 558 573 764 806 1116 1146 1209 1612 1719 2292 2418 2483 3438 3627 4836 4966 5921 6876 7254 7449 9932 11842 14508 14898 17763 22347 23684 29796 35526 44694 53289 71052 76973 89388 106578 153946 213156 230919 307892 461838 692757 766229 923676 1385514 1532458 2298687 2771028 3064916 4597374 6896061 9194748 9960977 13792122 19921954 23753099 27584244 29882931 39843908 47506198 59765862 71259297 89648793 95012396 119531724 142518594 146349739 179297586 213777891 285037188 292699478 308790287 358595172 427555782 439049217 585398956 617580574 855111564 878098434 926370861 1235161148 1317147651 1756196868 1852741722 1902546607 2634295302 2779112583 3705483444 3805093214 4536841909 5268590604 5558225166 5707639821 7610186428 9073683818 11116450332 11415279642 13610525727 17122919463 18147367636 22830559284 27221051454 34245838926 40831577181 54442102908 58978944817 68491677852 81663154362 117957889634 163326308724 176936834451 235915779268 353873668902 530810503353 707747337804 1061621006706 2123242013412