Search a number
-
+
2122328384838 = 2384328313291
BaseRepresentation
bin11110111000100100101…
…000010010010101000110
321111220002201021200000000
4132320210220102111012
5234233012031303323
64302552330502130
7306222163422324
oct36704450222506
97456081250000
102122328384838
117490900539a2
122a33a3594946
13125199c5163c
1474a15132d14
153a3175aee43
hex1ee24a12546

2122328384838 has 144 divisors (see below), whose sum is σ = 4903676771136. Its totient is φ = 688497168240.

The previous prime is 2122328384833. The next prime is 2122328384843. The reversal of 2122328384838 is 8384838232212.

2122328384838 is a `hidden beast` number, since 2 + 1 + 223 + 2 + 8 + 384 + 8 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (2122328384833) and next prime (2122328384843).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122328384833) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159674973 + ... + 159688263.

Almost surely, 22122328384838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122328384838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451838385568).

2122328384838 is an abundant number, since it is smaller than the sum of its proper divisors (2781348386298).

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

2122328384838 is an equidigital number, since it uses as much as digits as its factorization.

2122328384838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13643 (or 13622 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 2122328384838 in words is "two trillion, one hundred twenty-two billion, three hundred twenty-eight million, three hundred eighty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 283 387 486 566 729 774 849 1161 1458 1698 2187 2322 2547 3483 4374 5094 6561 6966 7641 10449 12169 13122 13291 15282 20898 22923 24338 26582 31347 36507 39873 45846 62694 68769 73014 79746 94041 109521 119619 137538 188082 206307 219042 239238 282123 328563 358857 412614 564246 571513 618921 657126 717714 985689 1076571 1143026 1237842 1714539 1856763 1971378 2153142 2957067 3229713 3429078 3713526 3761353 5143617 5914134 6459426 7522706 8871201 9689139 10287234 11284059 15430851 17742402 19378278 22568118 26613603 29067417 30861702 33852177 46292553 53227206 58134834 67704354 79840809 87202251 92585106 101556531 138877659 159681618 161738179 174404502 203113062 277755318 304669593 323476358 416632977 485214537 609339186 833265954 914008779 970429074 1249898931 1455643611 1828017558 2499797862 2742026337 2911287222 3749696793 4366930833 5484052674 7499393586 8226079011 8733861666 13100792499 16452158022 24678237033 26201584998 39302377497 49356474066 78604754994 117907132491 235814264982 353721397473 707442794946 1061164192419 2122328384838