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83321211212338 = 21119189939220471
BaseRepresentation
bin10010111100011110111011…
…001100100101001000110010
3101221000102121110200120001011
4102330132323030211020302
541410113320032243323
6453113122551101134
723356521200461231
oct2274367314451062
9357012543616034
1083321211212338
1124604366605970
1294182610717aa
133765205ab7428
141680aa7ac2b18
15997598aaa20d
hex4bc7bb325232

83321211212338 has 32 divisors (see below), whose sum is σ = 137059787612160. Its totient is φ = 37674398634000.

The previous prime is 83321211212321. The next prime is 83321211212411.

83321211212338 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×833212112123383 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83321211212338.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377813443 + ... + 378033913.

It is an arithmetic number, because the mean of its divisors is an integer number (4283118362880).

Almost surely, 283321211212338 is an apocalyptic number.

83321211212338 is a deficient number, since it is larger than the sum of its proper divisors (53738576399822).

83321211212338 is a wasteful number, since it uses less digits than its factorization.

83321211212338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310614.

The product of its digits is 82944, while the sum is 40.

It can be divided in two parts, 8332121 and 1212338, that added together give a palindrome (9544459).

The spelling of 83321211212338 in words is "eighty-three trillion, three hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, three hundred thirty-eight".

Divisors: 1 2 11 22 191 382 2101 4202 89939 179878 220471 440942 989329 1978658 2425181 4850362 17178349 34356698 42109961 84219922 188961839 377923678 463209571 926419142 19828941269 39657882538 218118353959 436236707918 3787327782379 7574655564758 41660605606169 83321211212338