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20030002202322 = 23271721633374621
BaseRepresentation
bin1001000110111100110010…
…01010101000011011010010
32121220211221021220022001100
410203132121022220123102
510111132421030433242
6110333353405245230
74135056061362330
oct443363112503322
977824837808040
1020030002202322
116422749075772
1222b5b47263816
13b23a89c6a388
144d3658abab50
1524b05dc9754c
hex1237992a86d2

20030002202322 has 144 divisors (see below), whose sum is σ = 53010506158272. Its totient is φ = 5353173204480.

The previous prime is 20030002202293. The next prime is 20030002202411. The reversal of 20030002202322 is 22320220003002.

20030002202322 is a `hidden beast` number, since 20 + 0 + 300 + 0 + 2 + 20 + 2 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20030002202295 and 20030002202304.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4248172 + ... + 7622792.

It is an arithmetic number, because the mean of its divisors is an integer number (368128514988).

Almost surely, 220030002202322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20030002202322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26505253079136).

20030002202322 is an abundant number, since it is smaller than the sum of its proper divisors (32980503955950).

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

20030002202322 is a wasteful number, since it uses less digits than its factorization.

20030002202322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374833 (or 3374813 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20030002202322 its reverse (22320220003002), we get a palindrome (42350222205324).

The spelling of 20030002202322 in words is "twenty trillion, thirty billion, two million, two hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 163 238 289 306 326 357 489 578 714 867 978 1071 1141 1467 1734 2023 2142 2282 2601 2771 2934 3423 4046 5202 5542 6069 6846 8313 10269 12138 16626 18207 19397 20538 24939 36414 38794 47107 49878 58191 94214 116382 141321 174573 282642 329749 349146 423963 659498 847926 989247 1978494 2967741 3374621 5935482 6749242 10123863 20247726 23622347 30371589 47244694 57368557 60743178 70867041 114737114 141734082 172105671 212601123 344211342 401579899 425202246 516317013 550063223 803159798 975265469 1032634026 1100126446 1204739697 1650189669 1950530938 2409479394 2925796407 3300379338 3614219091 3850442561 4950569007 5851592814 6826858283 7228438182 7700885122 8777389221 9351074791 9901138014 11551327683 13653716566 17554778442 18702149582 20480574849 23102655366 28053224373 34653983049 40961149698 56106448746 61441724547 65457523537 69307966098 84159673119 122883449094 130915047074 158968271447 168319346238 196372570611 317936542894 392745141222 476904814341 589117711833 953809628682 1112777900129 1178235423666 1430714443023 2225555800258 2861428886046 3338333700387 6676667400774 10015001101161 20030002202322