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311301020000130 = 235172322991111661
BaseRepresentation
bin100011011001000000110101…
…0101101110001111110000010
31111211020002100022211200001020
41012302001222231301332002
5311300323442110001010
63022025414143050310
7122366520322516266
oct10662015255617602
91454202308750036
10311301020000130
1190210026209946
122aab82818a0996
1310491738a78134
1456c309a7860a6
1525ec9c2009470
hex11b206ab71f82

311301020000130 has 96 divisors (see below), whose sum is σ = 793681312190400. Its totient is φ = 78127962823680.

The previous prime is 311301020000119. The next prime is 311301020000183. The reversal of 311301020000130 is 31000020103113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 279476500 + ... + 280588160.

It is an arithmetic number, because the mean of its divisors is an integer number (8267513668650).

Almost surely, 2311301020000130 is an apocalyptic number.

311301020000130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311301020000130 is an abundant number, since it is smaller than the sum of its proper divisors (482380292190270).

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

311301020000130 is a wasteful number, since it uses less digits than its factorization.

311301020000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144004 (or 1143987 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 311301020000130 its reverse (31000020103113), we get a palindrome (342301040103243).

The spelling of 311301020000130 in words is "three hundred eleven trillion, three hundred one billion, twenty million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 8670 32299 64598 96897 161495 193794 322990 484485 549083 968970 1098166 1111661 1647249 2223322 2745415 3294498 3334983 5490830 5558305 6669966 8236245 9334411 11116610 16472490 16674915 18668822 18898237 28003233 33349830 37796474 46672055 56006466 56694711 93344110 94491185 113389422 140016165 188982370 280032330 283473555 321270029 566947110 642540058 963810087 1606350145 1927620174 3212700290 4819050435 9638100870 35905538639 71811077278 107716615917 179527693195 215433231834 359055386390 538583079585 610394156863 1077166159170 1220788313726 1831182470589 3051970784315 3662364941178 6103941568630 9155912352945 10376700666671 18311824705890 20753401333342 31130102000013 51883503333355 62260204000026 103767006666710 155650510000065 311301020000130