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123320450034331 = 11237732572935011
BaseRepresentation
bin11100000010100011000111…
…100111100010101010011011
3121011122022122012022201102121
4130002203013213202222123
5112130440240202044311
61114140344352442111
734655415466612144
oct3402430747425233
9534568565281377
10123320450034331
1136325a000a5700
12119b83b5249337
1353a70b77725b4
142264a5505aacb
15e3ccaba6cb71
hex7028c79e2a9b

123320450034331 has 96 divisors (see below), whose sum is σ = 142182143095104. Its totient is φ = 106779584102400.

The previous prime is 123320450034269. The next prime is 123320450034359. The reversal of 123320450034331 is 133430054023321.

It is not a de Polignac number, because 123320450034331 - 225 = 123320416479899 is a prime.

It is a super-2 number, since 2×1233204500343312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123320450634331) 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 95 ways as a sum of consecutive naturals, for example, 24609945616 + ... + 24609950626.

It is an arithmetic number, because the mean of its divisors is an integer number (1481063990574).

Almost surely, 2123320450034331 is an apocalyptic number.

123320450034331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123320450034331 is a deficient number, since it is larger than the sum of its proper divisors (18861693060773).

123320450034331 is a wasteful number, since it uses less digits than its factorization.

123320450034331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The spelling of 123320450034331 in words is "one hundred twenty-three trillion, three hundred twenty billion, four hundred fifty million, thirty-four thousand, three hundred thirty-one".

Divisors: 1 11 37 73 121 257 293 407 803 2701 2827 3223 4477 5011 8833 9509 10841 18761 21389 29711 31097 35453 55121 75301 104599 119251 185407 206371 235279 326821 365803 606331 694157 791393 828311 1150589 1287827 1311761 1468223 2039477 2270081 2588069 2786137 4023833 5496973 7635727 8705323 9111421 13534711 14166097 16150453 22434247 30647507 44262163 47649599 54324251 60466703 83992997 94011371 95758553 107180279 148881821 155827067 177654983 203388001 337122577 377333311 524145589 597566761 665133733 1034125081 1178983069 1637700031 2237268011 3478420727 3965670323 4150666421 5765601479 6573234371 11375375891 12968813759 13961332507 24609948121 27545331703 38262627997 43622373553 45657330631 153574657577 302998648733 420888907967 479846109083 1019177273011 1689321233347 3332985136063 11210950003121 123320450034331