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331131301003332 = 223271154073840839
BaseRepresentation
bin100101101001010011000001…
…1100100100000000001000100
31121102102211202201001211111200
41023102212003210200001010
5321400223401024101312
63132131341502102500
7126514306220062314
oct11322460344400104
91542384681054450
10331131301003332
1196565aa5928665
123117b56a87aa30
131129c7173b0c7b
145baabaa3d7444
1528437420500dc
hex12d2983920044

331131301003332 has 72 divisors (see below), whose sum is σ = 848821966312320. Its totient is φ = 108821657562240.

The previous prime is 331131301003309. The next prime is 331131301003343. The reversal of 331131301003332 is 233300103131133.

331131301003332 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 313 + 0 + 10 + 0 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331131301003296 and 331131301003305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393390169 + ... + 394231007.

It is an arithmetic number, because the mean of its divisors is an integer number (11789193976560).

Almost surely, 2331131301003332 is an apocalyptic number.

It is an amenable number.

331131301003332 is an abundant number, since it is smaller than the sum of its proper divisors (517690665308988).

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

331131301003332 is a wasteful number, since it uses less digits than its factorization.

331131301003332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994993 (or 994988 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 331131301003332 its reverse (233300103131133), we get a palindrome (564431404134465).

The spelling of 331131301003332 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, three hundred one million, three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 154073 308146 462219 616292 840839 924438 1386657 1681678 1848876 2522517 2773314 3363356 5045034 5546628 7567551 10090068 10939183 15135102 21878366 30270204 32817549 43756732 59699569 65635098 98452647 119399138 131270196 179098707 196905294 238798276 358197414 393810588 537296121 716394828 1074592242 2149184484 129550587247 259101174494 388651761741 518202348988 777303523482 1165955285223 1554607046964 2331910570446 4663821140892 9198091694537 18396183389074 27594275083611 36792366778148 55188550167222 82782825250833 110377100334444 165565650501666 331131301003332