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2123030333322 = 2333141229135077
BaseRepresentation
bin11110111001001110011…
…110000000011110001010
321111221220122010100022000
4132321032132000132022
5234240431231131242
64303150124011430
7306245446040343
oct36711636003612
97457818110260
102123030333322
11749410304208
122a355a690b76
1312527c4c3882
1474a804570ca
153a359019a4c
hex1ee4e78078a

2123030333322 has 128 divisors (see below), whose sum is σ = 5010637363200. Its totient is φ = 665222284800.

The previous prime is 2123030333317. The next prime is 2123030333339. The reversal of 2123030333322 is 2233330303212.

2123030333322 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 3 + 0 + 333 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15649648 + ... + 15784724.

It is an arithmetic number, because the mean of its divisors is an integer number (39145604400).

Almost surely, 22123030333322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123030333322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505318681600).

2123030333322 is an abundant number, since it is smaller than the sum of its proper divisors (2887607029878).

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

2123030333322 is a wasteful number, since it uses less digits than its factorization.

2123030333322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135389 (or 135383 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 2123030333322 its reverse (2233330303212), we get a palindrome (4356360636534).

The spelling of 2123030333322 in words is "two trillion, one hundred twenty-three billion, thirty million, three hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 41 54 62 82 93 123 186 229 246 279 369 458 558 687 738 837 1107 1271 1374 1674 2061 2214 2542 3813 4122 6183 7099 7626 9389 11439 12366 14198 18778 21297 22878 28167 34317 42594 56334 63891 68634 84501 127782 135077 169002 191673 253503 270154 291059 383346 405231 507006 582118 810462 873177 1215693 1746354 2431386 2619531 3647079 4187387 5239062 5538157 7294158 7858593 8374774 11076314 12562161 15717186 16614471 25124322 30932633 33228942 37686483 49843413 61865266 75372966 92797899 99686826 113059449 149530239 171682867 185595798 226118898 278393697 299060478 343365734 515048601 556787394 835181091 958911623 1030097202 1268237953 1545145803 1670362182 1917823246 2536475906 2876734869 3090291606 3804713859 4635437409 5753469738 7609427718 8630204607 9270874818 11414141577 17260409214 22828283154 25890613821 34242424731 39315376543 51781227642 68484849462 78630753086 117946129629 235892259258 353838388887 707676777774 1061515166661 2123030333322