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133011112 = 23132131751
BaseRepresentation
bin1111110110110…
…01011010101000
3100021021122221111
413323121122220
5233022323422
621110520104
73203401333
oct773313250
9307248844
10133011112
1169099243
1238666034
1321731200
141394561a
15ba25a77
hex7ed96a8

133011112 has 48 divisors (see below), whose sum is σ = 272479680. Its totient is φ = 60840000.

The previous prime is 133011107. The next prime is 133011113. The reversal of 133011112 is 211110331.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 133011092 and 133011101.

It is not an unprimeable number, because it can be changed into a prime (133011113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176737 + ... + 177487.

It is an arithmetic number, because the mean of its divisors is an integer number (5676660).

Almost surely, 2133011112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136239840).

133011112 is an abundant number, since it is smaller than the sum of its proper divisors (139468568).

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

133011112 is a wasteful number, since it uses less digits than its factorization.

133011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 133011112 is about 11533.0443509075. The cubic root of 133011112 is about 510.4610875578.

Adding to 133011112 its reverse (211110331), we get a palindrome (344121443).

The spelling of 133011112 in words is "one hundred thirty-three million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 131 169 262 338 524 676 751 1048 1352 1502 1703 3004 3406 6008 6812 9763 13624 19526 22139 39052 44278 78104 88556 98381 126919 177112 196762 253838 393524 507676 787048 1015352 1278953 2557906 5115812 10231624 16626389 33252778 66505556 133011112