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101196304 = 24113471657
BaseRepresentation
bin1100000100000…
…10001000010000
321001102022020021
412002002020100
5201401240204
614012553224
72336103646
oct602021020
9231368207
10101196304
1152139310
1229a82814
1317c72191
14d623196
158d3e154
hex6082210

101196304 has 40 divisors (see below), whose sum is σ = 214638048. Its totient is φ = 45838080.

The previous prime is 101196301. The next prime is 101196313. The reversal of 101196304 is 403691101.

It is not an unprimeable number, because it can be changed into a prime (101196301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60244 + ... + 61900.

Almost surely, 2101196304 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 101196304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107319024).

101196304 is an abundant number, since it is smaller than the sum of its proper divisors (113441744).

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

101196304 is a wasteful number, since it uses less digits than its factorization.

101196304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 101196304 is about 10059.6373692097. The cubic root of 101196304 is about 466.0024682586.

The spelling of 101196304 in words is "one hundred one million, one hundred ninety-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 347 694 1388 1657 2776 3314 3817 5552 6628 7634 13256 15268 18227 26512 30536 36454 61072 72908 145816 291632 574979 1149958 2299916 4599832 6324769 9199664 12649538 25299076 50598152 101196304