Search a number
-
+
331122012130032 = 24347732010601939
BaseRepresentation
bin100101101001001110101100…
…1111010010000101011110000
31121102101221210100102011211020
41023102131121322100223300
5321400100340101130112
63132123204041215440
7126513530066003124
oct11322353172205360
91542357710364736
10331122012130032
1196562069572672
12311797b7a91580
131129b896b2a536
145baa5688a7584
15284339b81148c
hex12d2759e90af0

331122012130032 has 80 divisors (see below), whose sum is σ = 885565603269120. Its totient is φ = 106545817898496.

The previous prime is 331122012129973. The next prime is 331122012130057. The reversal of 331122012130032 is 230031210221133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 331122012129984 and 331122012130011.

It is a congruent number.

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, 1005136282 + ... + 1005465657.

It is an arithmetic number, because the mean of its divisors is an integer number (11069570040864).

Almost surely, 2331122012130032 is an apocalyptic number.

It is an amenable number.

331122012130032 is an abundant number, since it is smaller than the sum of its proper divisors (554443591139088).

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

331122012130032 is a wasteful number, since it uses less digits than its factorization.

331122012130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010602070 (or 2010602064 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331122012130032 its reverse (230031210221133), we get a palindrome (561153222351165).

The spelling of 331122012130032 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, twelve million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 141 146 188 219 282 292 376 438 564 584 752 876 1128 1168 1752 2256 3431 3504 6862 10293 13724 20586 27448 41172 54896 82344 164688 2010601939 4021203878 6031805817 8042407756 12063611634 16084815512 24127223268 32169631024 48254446536 94498291133 96508893072 146773941547 188996582266 283494873399 293547883094 377993164532 440321824641 566989746798 587095766188 755986329064 880643649282 1133979493596 1174191532376 1511972658128 1761287298564 2267958987192 2348383064752 3522574597128 4535917974384 6898375252709 7045149194256 13796750505418 20695125758127 27593501010836 41390251516254 55187002021672 82780503032508 110374004043344 165561006065016 331122012130032