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331131301000320 = 2735434010795797
BaseRepresentation
bin100101101001010011000001…
…1100100011111010010000000
31121102102211202201001200101010
41023102212003210133102000
5321400223401024002240
63132131341502040520
7126514306220050452
oct11322460344372200
91542384681050333
10331131301000320
1196565aa5926377
123117b56a879140
131129c7173ac7a2
145baabaa3d62d2
15284374204e280
hex12d298391f480

331131301000320 has 128 divisors (see below), whose sum is σ = 1080027092485440. Its totient is φ = 86248152797184.

The previous prime is 331131301000303. The next prime is 331131301000327. The reversal of 331131301000320 is 23000103131133.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (331131301000327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005315339 + ... + 2005480458.

Almost surely, 2331131301000320 is an apocalyptic number.

331131301000320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331131301000320 is an abundant number, since it is smaller than the sum of its proper divisors (748895791485120).

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

331131301000320 is a wasteful number, since it uses less digits than its factorization.

331131301000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010795862 (or 4010795850 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 331131301000320 its reverse (23000103131133), we get a palindrome (354131404131453).

The spelling of 331131301000320 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, three hundred one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 645 688 860 960 1032 1290 1376 1720 1920 2064 2580 2752 3440 4128 5160 5504 6880 8256 10320 13760 16512 20640 27520 41280 82560 4010795797 8021591594 12032387391 16043183188 20053978985 24064774782 32086366376 40107957970 48129549564 60161936955 64172732752 80215915940 96259099128 120323873910 128345465504 160431831880 172464219271 192518198256 240647747820 256690931008 320863663760 344928438542 385036396512 481295495640 513381862016 517392657813 641727327520 689856877084 770072793024 862321096355 962590991280 1034785315626 1283454655040 1379713754168 1540145586048 1724642192710 1925181982560 2069570631252 2566909310080 2586963289065 2759427508336 3449284385420 3850363965120 4139141262504 5173926578130 5518855016672 6898568770840 7700727930240 8278282525008 10347853156260 11037710033344 13797137541680 16556565050016 20695706312520 22075420066688 27594275083360 33113130100032 41391412625040 55188550166720 66226260200064 82782825250080 110377100333440 165565650500160 331131301000320