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2422323312102 = 2332313922736173
BaseRepresentation
bin100011001111111101101…
…110000111010111100110
322120120102212122222021000
4203033331232013113212
5304141404231441402
65052444443134130
7340002300266451
oct43177556072746
98516385588230
102422323312102
118543353a5a51
12331567214346
131475689c5315
1485353714498
15430245bac1c
hex233fdb875e6

2422323312102 has 128 divisors (see below), whose sum is σ = 5660797363200. Its totient is φ = 766317100032.

The previous prime is 2422323312067. The next prime is 2422323312107. The reversal of 2422323312102 is 2012133232242.

2422323312102 is a `hidden beast` number, since 2 + 4 + 22 + 323 + 312 + 1 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422323312107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392403088 + ... + 392409260.

It is an arithmetic number, because the mean of its divisors is an integer number (44224979400).

Almost surely, 22422323312102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422323312102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830398681600).

2422323312102 is an abundant number, since it is smaller than the sum of its proper divisors (3238474051098).

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

2422323312102 is a wasteful number, since it uses less digits than its factorization.

2422323312102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8613 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2422323312102 its reverse (2012133232242), we get a palindrome (4434456544344).

The spelling of 2422323312102 in words is "two trillion, four hundred twenty-two billion, three hundred twenty-three million, three hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 139 207 278 414 417 621 834 1242 1251 2273 2502 3197 3753 4546 6173 6394 6819 7506 9591 12346 13638 18519 19182 20457 28773 37038 40914 52279 55557 57546 61371 86319 104558 111114 122742 141979 156837 166671 172638 283958 313674 315947 333342 425937 470511 631894 851874 858047 941022 947841 1277811 1411533 1716094 1895682 2555622 2574141 2823066 2843523 3833433 5148282 5687046 7266781 7666866 7722423 8530569 14031229 14533562 15444846 17061138 19735081 21800343 23167269 28062458 39470162 42093687 43600686 46334538 59205243 65401029 84187374 118410486 126281061 130802058 177615729 196203087 252562122 322718267 355231458 378843183 392406174 532847187 645436534 757686366 968154801 1065694374 1936309602 1950340831 2904464403 3900681662 5808928806 5851022493 8713393209 11702044986 17426786418 17553067479 35106134958 44857839113 52659202437 89715678226 105318404874 134573517339 269147034678 403720552017 807441104034 1211161656051 2422323312102