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331010001120 = 25351877367397
BaseRepresentation
bin1001101000100011011…
…10111100100011100000
31011122101122201022012010
410310101232330203200
520410402030013440
6412021445032520
732625510405021
oct4642156744340
91148348638163
10331010001120
111184205750a7
125419a6b5740
13252a25230b6
141204177cc48
158924ce2580
hex4d11bbc8e0

331010001120 has 96 divisors (see below), whose sum is σ = 1043239847328. Its totient is φ = 88222066688.

The previous prime is 331010001103. The next prime is 331010001131. The reversal of 331010001120 is 21100010133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 331010001096 and 331010001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717262 + ... + 1084658.

It is an arithmetic number, because the mean of its divisors is an integer number (10867081743).

Almost surely, 2331010001120 is an apocalyptic number.

331010001120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331010001120 is an abundant number, since it is smaller than the sum of its proper divisors (712229846208).

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

331010001120 is a wasteful number, since it uses less digits than its factorization.

331010001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369292 (or 369284 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 331010001120 its reverse (21100010133), we get a palindrome (352110011253).

The spelling of 331010001120 in words is "three hundred thirty-one billion, ten million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1877 3754 5631 7508 9385 11262 15016 18770 22524 28155 30032 37540 45048 56310 60064 75080 90096 112620 150160 180192 225240 300320 367397 450480 734794 900960 1102191 1469588 1836985 2204382 2939176 3673970 4408764 5510955 5878352 7347940 8817528 11021910 11756704 14695880 17635056 22043820 29391760 35270112 44087640 58783520 88175280 176350560 689604169 1379208338 2068812507 2758416676 3448020845 4137625014 5516833352 6896041690 8275250028 10344062535 11033666704 13792083380 16550500056 20688125070 22067333408 27584166760 33101000112 41376250140 55168333520 66202000224 82752500280 110336667040 165505000560 331010001120