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313101303012 = 223319947161123
BaseRepresentation
bin1001000111001100100…
…10101011110011100100
31002221011120100011211000
410203212102223303210
520112212413144022
6355500423313300
731422641110131
oct4434622536344
91087146304730
10313101303012
11110870583153
1250820bab830
13236aa1ac204
141122311b588
1582279716ac
hex48e64abce4

313101303012 has 96 divisors (see below), whose sum is σ = 855375091200. Its totient is φ = 98769074976.

The previous prime is 313101302981. The next prime is 313101303037. The reversal of 313101303012 is 210303101313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1862683 + ... + 2023805.

It is an arithmetic number, because the mean of its divisors is an integer number (8910157200).

Almost surely, 2313101303012 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 313101303012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427687545600).

313101303012 is an abundant number, since it is smaller than the sum of its proper divisors (542273788188).

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

313101303012 is a wasteful number, since it uses less digits than its factorization.

313101303012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162102 (or 162094 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313101303012 its reverse (210303101313), we get a palindrome (523404404325).

The spelling of 313101303012 in words is "three hundred thirteen billion, one hundred one million, three hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 947 1026 1894 2052 2841 3788 5682 8523 11364 17046 17993 25569 34092 35986 51138 53979 71972 102276 107958 161123 161937 215916 322246 323874 483369 485811 644492 647748 966738 971622 1450107 1933476 1943244 2900214 3061337 4350321 5800428 6122674 8700642 9184011 12245348 17401284 18368022 27552033 36736044 55104066 82656099 110208132 152583481 165312198 305166962 330624396 457750443 610333924 915500886 1373251329 1831001772 2746502658 2899086139 4119753987 5493005316 5798172278 8239507974 8697258417 11596344556 16479015948 17394516834 26091775251 34789033668 52183550502 78275325753 104367101004 156550651506 313101303012