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31332102120 = 233251111370019
BaseRepresentation
bin11101001011100010…
…011110111111101000
32222212120212200221200
4131023202132333220
51003132004231440
622221015404200
72156303321334
oct351342367750
988776780850
1031332102120
1112319178080
1260a5083660
132c5435cac7
1417333247c4
15c35a5ac30
hex74b89efe8

31332102120 has 192 divisors, whose sum is σ = 112071211200. Its totient is φ = 7528335360.

The previous prime is 31332102119. The next prime is 31332102157. The reversal of 31332102120 is 2120123313.

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

It is a junction number, because it is equal to n+sod(n) for n = 31332102093 and 31332102102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412471 + ... + 482489.

It is an arithmetic number, because the mean of its divisors is an integer number (583704225).

Almost surely, 231332102120 is an apocalyptic number.

31332102120 is a gapful number since it is divisible by the number (30) 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 31332102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56035605600).

31332102120 is an abundant number, since it is smaller than the sum of its proper divisors (80739109080).

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

31332102120 is a wasteful number, since it uses less digits than its factorization.

31332102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70160 (or 70153 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31332102120 its reverse (2120123313), we get a palindrome (33452225433).

The spelling of 31332102120 in words is "thirty-one billion, three hundred thirty-two million, one hundred two thousand, one hundred twenty".