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101145436 = 22719316133
BaseRepresentation
bin1100000011101…
…01101101011100
321001022201110021
412001311231130
5201343123221
614011521524
72335502440
oct601655534
9231281407
10101145436
1152104077
1229a592a4
1317c54c92
14d60c820
158d2e041
hex6075b5c

101145436 has 48 divisors (see below), whose sum is σ = 219842560. Its totient is φ = 39735360.

The previous prime is 101145419. The next prime is 101145449. The reversal of 101145436 is 634541101.

It is a self number, because there is not a number n which added to its sum of digits gives 101145436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13426 + ... + 19558.

Almost surely, 2101145436 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 101145436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109921280).

101145436 is an abundant number, since it is smaller than the sum of its proper divisors (118697124).

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

101145436 is a wasteful number, since it uses less digits than its factorization.

101145436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 101145436 is about 10057.1087296499. The cubic root of 101145436 is about 465.9243738830.

Adding to 101145436 its reverse (634541101), we get a palindrome (735686537).

The spelling of 101145436 in words is "one hundred one million, one hundred forty-five thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 6133 8246 12266 16492 24532 42931 85862 116527 171724 190123 233054 380246 466108 760492 815689 1330861 1631378 2661722 3262756 3612337 5323444 7224674 14449348 25286359 50572718 101145436