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101060608 = 212112243
BaseRepresentation
bin1100000011000…
…01000000000000
321001011102002111
412001201000000
5201332414413
614010025104
72335000225
oct601410000
9231142074
10101060608
1152056370
1229a18194
1317c2549c
14d5c994c
158d13d3d
hex6061000

101060608 has 52 divisors (see below), whose sum is σ = 220567248. Its totient is φ = 45916160.

The previous prime is 101060599. The next prime is 101060611. The reversal of 101060608 is 806060101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43935 + ... + 46177.

Almost surely, 2101060608 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 101060608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110283624).

101060608 is an abundant number, since it is smaller than the sum of its proper divisors (119506640).

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

101060608 is an equidigital number, since it uses as much as digits as its factorization.

101060608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 101060608 is about 10052.8905295940. The cubic root of 101060608 is about 465.7940846395.

The spelling of 101060608 in words is "one hundred one million, sixty thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2243 2816 4096 4486 5632 8972 11264 17944 22528 24673 35888 45056 49346 71776 98692 143552 197384 287104 394768 574208 789536 1148416 1579072 2296832 3158144 4593664 6316288 9187328 12632576 25265152 50530304 101060608