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331014122123140 = 225172367631778681
BaseRepresentation
bin100101101000011100011101…
…1001010100010111110000100
31121102000122022022022221212001
41023100320323022202332010
5321341313410230420030
63132001442144035044
7126502660345040101
oct11320707312427604
91542018268287761
10331014122123140
1196520334466615
1231160907902a84
1311291661809b81
145ba5251a11aa8
152840684aa6cca
hex12d0e3b2a2f84

331014122123140 has 96 divisors (see below), whose sum is σ = 779483483622144. Its totient is φ = 117419858350080.

The previous prime is 331014122123131. The next prime is 331014122123147. The reversal of 331014122123140 is 41321221410133.

It is a junction number, because it is equal to n+sod(n) for n = 331014122123099 and 331014122123108.

It is not an unprimeable number, because it can be changed into a prime (331014122123147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315365401 + ... + 316413280.

It is an arithmetic number, because the mean of its divisors is an integer number (8119619621064).

Almost surely, 2331014122123140 is an apocalyptic number.

It is an amenable number.

331014122123140 is an abundant number, since it is smaller than the sum of its proper divisors (448469361499004).

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

331014122123140 is a wasteful number, since it uses less digits than its factorization.

331014122123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631778797 (or 631778795 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 331014122123140 its reverse (41321221410133), we get a palindrome (372335343533273).

The spelling of 331014122123140 in words is "three hundred thirty-one trillion, fourteen billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 67 68 85 92 115 134 170 230 268 335 340 391 460 670 782 1139 1340 1541 1564 1955 2278 3082 3910 4556 5695 6164 7705 7820 11390 15410 22780 26197 30820 52394 104788 130985 261970 523940 631778681 1263557362 2527114724 3158893405 6317786810 10740237577 12635573620 14530909663 21480475154 29061819326 42329171627 42960950308 53701187885 58123638652 72654548315 84658343254 107402375770 145309096630 169316686508 211645858135 214804751540 247025464271 290618193260 423291716270 494050928542 719595917659 846583432540 973570947421 988101857084 1235127321355 1439191835318 1947141894842 2470254642710 2878383670636 3597979588295 3894283789684 4867854737105 4940509285420 7195959176590 9735709474210 14391918353180 16550706106157 19471418948420 33101412212314 66202824424628 82753530530785 165507061061570 331014122123140