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332300031022112 = 25237160111057907
BaseRepresentation
bin100101110001110011010000…
…1010011101101010000100000
31121120120120110111210022101112
41023203212201103231100200
5322023400430420201422
63134424305442322452
7126664612355243336
oct11343464123552040
91546516414708345
10332300031022112
1196976719516a6a
1231329b80059428
13113559b24792ba
145c0b59b96bb56
152863d468a0ee2
hex12e39a14ed420

332300031022112 has 96 divisors (see below), whose sum is σ = 692390596230144. Its totient is φ = 156661491078400.

The previous prime is 332300031022109. The next prime is 332300031022117. The reversal of 332300031022112 is 211220130003233.

It is a super-2 number, since 2×3323000310221122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (332300031022117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313581863 + ... + 314639769.

It is an arithmetic number, because the mean of its divisors is an integer number (7212402044064).

Almost surely, 2332300031022112 is an apocalyptic number.

332300031022112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332300031022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346195298115072).

332300031022112 is an abundant number, since it is smaller than the sum of its proper divisors (360090565208032).

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

332300031022112 is a wasteful number, since it uses less digits than its factorization.

332300031022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064022 (or 1064014 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 332300031022112 its reverse (211220130003233), we get a palindrome (543520161025345).

The spelling of 332300031022112 in words is "three hundred thirty-two trillion, three hundred billion, thirty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 568 736 1136 1633 2272 3266 6011 6532 12022 13064 24044 26128 48088 52256 96176 138253 192352 276506 426781 553012 853562 1057907 1106024 1707124 2115814 2212048 3414248 4231628 4424096 6828496 8463256 9815963 13656992 16926512 19631926 24331861 33853024 39263852 48663722 75111397 78527704 97327444 150222794 157055408 194654888 300445588 314110816 389309776 600891176 778619552 1201782352 1727562131 2403564704 3455124262 6359078977 6910248524 12718157954 13820497048 25436315908 27640994096 50872631816 55281988192 101745263632 146258816471 203490527264 292517632942 451494607367 585035265884 902989214734 1170070531768 1805978429468 2340141063536 3611956858936 4680282127072 7223913717872 10384375969441 14447827435744 20768751938882 41537503877764 83075007755528 166150015511056 332300031022112