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331320201310032 = 243117125135211289
BaseRepresentation
bin100101101010101010111111…
…0111001111110111101010000
31121110002220100111022200021020
41023111111332321332331100
5321411322233013410112
63132354222123155440
7126534044311146414
oct11325257671767520
91543086314280236
10331320201310032
1196629121159a10
12311b00a9075b80
13112b448cc3b78c
145bb5daa296d44
1528485eace148c
hex12d557ee7ef50

331320201310032 has 160 divisors (see below), whose sum is σ = 950643984890880. Its totient is φ = 98591606400000.

The previous prime is 331320201310027. The next prime is 331320201310141. The reversal of 331320201310032 is 230013102023133.

It is a super-2 number, since 2×3313202013100322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 331320201309984 and 331320201310011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8196157 + ... + 27015132.

It is an arithmetic number, because the mean of its divisors is an integer number (5941524905568).

Almost surely, 2331320201310032 is an apocalyptic number.

It is an amenable number.

331320201310032 is an abundant number, since it is smaller than the sum of its proper divisors (619323783580848).

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

331320201310032 is a wasteful number, since it uses less digits than its factorization.

331320201310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35211633 (or 35211627 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 331320201310032 its reverse (230013102023133), we get a palindrome (561333303333165).

The spelling of 331320201310032 in words is "three hundred thirty-one trillion, three hundred twenty billion, two hundred one million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 251 264 284 426 502 528 568 753 781 852 1004 1136 1506 1562 1704 2008 2343 2761 3012 3124 3408 4016 4686 5522 6024 6248 8283 9372 11044 12048 12496 16566 17821 18744 22088 33132 35642 37488 44176 53463 66264 71284 106926 132528 142568 196031 213852 285136 392062 427704 588093 784124 855408 1176186 1568248 2352372 3136496 4704744 9409488 35211289 70422578 105633867 140845156 211267734 281690312 387324179 422535468 563380624 774648358 845070936 1161972537 1549296716 1690141872 2323945074 2500001519 3098593432 4647890148 5000003038 6197186864 7500004557 8838033539 9295780296 10000006076 15000009114 17676067078 18591560592 20000012152 26514100617 27500016709 30000018228 35352134156 40000024304 53028201234 55000033418 60000036456 70704268312 82500050127 97218368929 106056402468 110000066836 120000072912 141408536624 165000100254 194436737858 212112804936 220000133672 291655106787 330000200508 388873475716 424225609872 440000267344 583310213574 627500381269 660000401016 777746951432 1166620427148 1255000762538 1320000802032 1555493902864 1882501143807 2333240854296 2510001525076 3765002287614 4666481708592 5020003050152 6902504193959 7530004575228 10040006100304 13805008387918 15060009150456 20707512581877 27610016775836 30120018300912 41415025163754 55220033551672 82830050327508 110440067103344 165660100655016 331320201310032