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120441331032 = 23311538607871
BaseRepresentation
bin111000000101011011…
…1001101110101011000
3102111212202121112212020
41300022313031311120
53433130440043112
6131155135414440
711462435264541
oct1601267156530
9374782545766
10120441331032
1147095a9a710
121b413684420
13b48576a2a9
145b87bc94c8
1531edad048c
hex1c0adcdd58

120441331032 has 64 divisors (see below), whose sum is σ = 334674063360. Its totient is φ = 35808739200.

The previous prime is 120441330991. The next prime is 120441331039. The reversal of 120441331032 is 230133144021.

It is a happy number.

It is a super-2 number, since 2×1204413310322 (a number of 23 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 = 120441330993 and 120441331011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120441331039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4289944 + ... + 4317927.

It is an arithmetic number, because the mean of its divisors is an integer number (5229282240).

Almost surely, 2120441331032 is an apocalyptic number.

120441331032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120441331032 is an abundant number, since it is smaller than the sum of its proper divisors (214232732328).

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

120441331032 is a wasteful number, since it uses less digits than its factorization.

120441331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8607944 (or 8607940 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 120441331032 its reverse (230133144021), we get a palindrome (350574475053).

The spelling of 120441331032 in words is "one hundred twenty billion, four hundred forty-one million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 4664 6996 13992 8607871 17215742 25823613 34431484 51647226 68862968 94686581 103294452 189373162 206588904 284059743 378746324 456217163 568119486 757492648 912434326 1136238972 1368651489 1824868652 2272477944 2737302978 3649737304 5018388793 5474605956 10036777586 10949211912 15055166379 20073555172 30110332758 40147110344 60220665516 120441331032