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331301000000 = 2656331301
BaseRepresentation
bin1001101001000110001…
…01000001001101000000
31011200010221021120121102
410310203011001031000
520412001024000000
6412110402113532
732635643015165
oct4644305011500
91150127246542
10331301000000
1111855a860943
125426004b8a8
132531a8bbb99
141206c28c06c
1589406243d5
hex4d23141340

331301000000 has 98 divisors (see below), whose sum is σ = 821773738974. Its totient is φ = 132520000000.

The previous prime is 331300999987. The next prime is 331301000011. The reversal of 331301000000 is 103133.

It can be written as a sum of positive squares in 7 ways, for example, as 299594211904 + 31706788096 = 547352^2 + 178064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 834350 + ... + 1165650.

Almost surely, 2331301000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331301000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410886869487).

331301000000 is an abundant number, since it is smaller than the sum of its proper divisors (490472738974).

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

331301000000 is an frugal number, since it uses more digits than its factorization.

331301000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331343 (or 331308 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 331301000000 its reverse (103133), we get a palindrome (331301103133).

The spelling of 331301000000 in words is "three hundred thirty-one billion, three hundred one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 331301 500000 662602 1000000 1325204 1656505 2650408 3313010 5300816 6626020 8282525 10601632 13252040 16565050 21203264 26504080 33130100 41412625 53008160 66260200 82825250 106016320 132520400 165650500 207063125 265040800 331301000 414126250 530081600 662602000 828252500 1035315625 1325204000 1656505000 2070631250 2650408000 3313010000 4141262500 5176578125 6626020000 8282525000 10353156250 13252040000 16565050000 20706312500 33130100000 41412625000 66260200000 82825250000 165650500000 331301000000