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331144343310242 = 272112131213174179
BaseRepresentation
bin100101101001011001000110…
…0111100111100111110100010
31121102111002102122110200010202
41023102302030330330332202
5321400432103341411432
63132141340004025202
7126515250345623600
oct11322621474747642
91542432378420122
10331144343310242
1196570588979900
1231181baa692202
13112a0a15476537
145bab686616870
152843c5705c462
hex12d2c8cf3cfa2

331144343310242 has 72 divisors (see below), whose sum is σ = 639965089597680. Its totient is φ = 128032411306800.

The previous prime is 331144343310163. The next prime is 331144343310251. The reversal of 331144343310242 is 242013343441133.

It is a super-2 number, since 2×3311443433102422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331144343310196 and 331144343310205.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105033692 + ... + 108140487.

It is an arithmetic number, because the mean of its divisors is an integer number (8888404022190).

Almost surely, 2331144343310242 is an apocalyptic number.

331144343310242 is a deficient number, since it is larger than the sum of its proper divisors (308820746287438).

331144343310242 is a wasteful number, since it uses less digits than its factorization.

331144343310242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213174348 (or 213174330 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 331144343310242 its reverse (242013343441133), we get a palindrome (573157686751375).

The spelling of 331144343310242 in words is "three hundred thirty-one trillion, one hundred forty-four billion, three hundred forty-three million, three hundred ten thousand, two hundred forty-two".

Divisors: 1 2 7 11 14 22 49 77 98 121 131 154 242 262 539 847 917 1078 1441 1694 1834 2882 5929 6419 10087 11858 12838 15851 20174 31702 70609 110957 141218 221914 776699 1553398 213174179 426348358 1492219253 2344915969 2984438506 4689831938 10445534771 16414411783 20891069542 25794075659 27925817449 32828823566 51588151318 55851634898 114900882481 180558529613 195480722143 229801764962 307183991939 361117059226 390961444286 614367983878 1263909707291 1368365055001 2150287943573 2527819414582 2736730110002 3379023911329 4300575887146 6758047822658 15052015605011 23653167379303 30104031210022 47306334758606 165572171655121 331144343310242