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132111102120 = 23354012745451
BaseRepresentation
bin111101100001001101…
…1110111000010101000
3110122000001100100022020
41323002123313002220
54131030420231440
6140405131224440
712354556561014
oct1730233670250
9418001310266
10132111102120
1151034300428
122172b8a8120
13c5c537ba9a
146573a05544
1536833703d0
hex1ec26f70a8

132111102120 has 64 divisors (see below), whose sum is σ = 397321813440. Its totient is φ = 35141760000.

The previous prime is 132111102029. The next prime is 132111102139. The reversal of 132111102120 is 21201111231.

It is a super-2 number, since 2×1321111021202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132111102120.

It is an unprimeable number.

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, 1324606 + ... + 1420845.

It is an arithmetic number, because the mean of its divisors is an integer number (6208153335).

Almost surely, 2132111102120 is an apocalyptic number.

132111102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132111102120 is an abundant number, since it is smaller than the sum of its proper divisors (265210711320).

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

132111102120 is a wasteful number, since it uses less digits than its factorization.

132111102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745866 (or 2745862 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 132111102120 its reverse (21201111231), we get a palindrome (153312213351).

The spelling of 132111102120 in words is "one hundred thirty-two billion, one hundred eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 802 1203 1604 2005 2406 3208 4010 4812 6015 8020 9624 12030 16040 24060 48120 2745451 5490902 8236353 10981804 13727255 16472706 21963608 27454510 32945412 41181765 54909020 65890824 82363530 109818040 164727060 329454120 1100925851 2201851702 3302777553 4403703404 5504629255 6605555106 8807406808 11009258510 13211110212 16513887765 22018517020 26422220424 33027775530 44037034040 66055551060 132111102120