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321420010203222 = 237232939411206809
BaseRepresentation
bin100100100010101000110110…
…1100010000010100001010110
31120011001110020011010112102120
41021011101231202002201112
5314112121140103000342
63055334151513120410
7124462554326212650
oct11105215542024126
91504043204115376
10321420010203222
11934615083a2687
12300714270b9106
1310a46a13b30548
145952b50a7d6d0
152725d13438aec
hex124546d882856

321420010203222 has 128 divisors (see below), whose sum is σ = 770051210987520. Its totient is φ = 87448590197760.

The previous prime is 321420010203217. The next prime is 321420010203233. The reversal of 321420010203222 is 222302010024123.

It is a junction number, because it is equal to n+sod(n) for n = 321420010203192 and 321420010203201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265735354 + ... + 266942162.

It is an arithmetic number, because the mean of its divisors is an integer number (6016025085840).

Almost surely, 2321420010203222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321420010203222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385025605493760).

321420010203222 is an abundant number, since it is smaller than the sum of its proper divisors (448631200784298).

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

321420010203222 is a wasteful number, since it uses less digits than its factorization.

321420010203222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208078.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 321420010203222 its reverse (222302010024123), we get a palindrome (543722020227345).

The spelling of 321420010203222 in words is "three hundred twenty-one trillion, four hundred twenty billion, ten million, two hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 293 322 483 586 879 941 966 1758 1882 2051 2823 4102 5646 6153 6587 6739 12306 13174 13478 19761 20217 21643 39522 40434 43286 47173 64929 94346 129858 141519 151501 275713 283038 303002 454503 551426 827139 909006 1206809 1654278 1929991 2413618 3620427 3859982 5789973 6341399 7240854 8447663 11579946 12682798 16895326 19024197 25342989 27756607 38048394 44389793 50685978 55513214 83269821 88779586 133169379 166539642 194296249 266338758 353595037 388592498 582888747 707190074 1060785111 1135607269 1165777494 2121570222 2271214538 2475165259 3406821807 4950330518 6813643614 7425495777 7949250883 8132685851 14850991554 15898501766 16265371702 23847752649 24398057553 26118967187 47695505298 48796115106 52237934374 56928800957 78356901561 113857601914 156713803122 170786402871 182832770309 332732929817 341572805742 365665540618 548498310927 665465859634 998198789451 1096996621854 1996397578902 2329130508719 4658261017438 6987391526157 7652857385791 13974783052314 15305714771582 22958572157373 45917144314746 53570001700537 107140003401074 160710005101611 321420010203222