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120331332 = 223411191777
BaseRepresentation
bin1110010110000…
…01110001000100
322101102110120000
413023001301010
5221301100312
615535041300
72660541132
oct713016104
9271373500
10120331332
1161a18790
1234370230
131bc11994
1411da4752
15a86dadc
hex72c1c44

120331332 has 120 divisors (see below), whose sum is σ = 361431840. Its totient is φ = 34525440.

The previous prime is 120331303. The next prime is 120331339. The reversal of 120331332 is 233133021.

120331332 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120331339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66828 + ... + 68604.

It is an arithmetic number, because the mean of its divisors is an integer number (3011932).

Almost surely, 2120331332 is an apocalyptic number.

120331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180715920).

120331332 is an abundant number, since it is smaller than the sum of its proper divisors (241100508).

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

120331332 is a wasteful number, since it uses less digits than its factorization.

120331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 120331332 is about 10969.5638928811. The cubic root of 120331332 is about 493.6959615698.

Adding to 120331332 its reverse (233133021), we get a palindrome (353464353).

The spelling of 120331332 in words is "one hundred twenty million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 297 324 342 396 418 513 594 627 684 836 891 1026 1188 1254 1539 1777 1782 1881 2052 2508 3078 3554 3564 3762 5331 5643 6156 7108 7524 10662 11286 15993 16929 19547 21324 22572 31986 33763 33858 39094 47979 58641 63972 67526 67716 78188 95958 101289 117282 135052 143937 175923 191916 202578 234564 287874 303867 351846 371393 405156 527769 575748 607734 703692 742786 911601 1055538 1114179 1215468 1485572 1583307 1823202 2111076 2228358 2734803 3166614 3342537 3646404 4456716 5469606 6333228 6685074 10027611 10939212 13370148 20055222 30082833 40110444 60165666 120331332