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101343429 = 32112293209
BaseRepresentation
bin1100000101001…
…10000011000101
321001200210001100
412002212003011
5201420442204
614020050313
72340255615
oct602460305
9231623040
10101343429
1152229900
1229b33999
1317cc4135
14d660a45
158d6ca39
hex60a60c5

101343429 has 36 divisors (see below), whose sum is σ = 166502700. Its totient is φ = 59283840.

The previous prime is 101343391. The next prime is 101343461. The reversal of 101343429 is 924343101.

It can be written as a sum of positive squares in 2 ways, for example, as 55130625 + 46212804 = 7425^2 + 6798^2 .

It is not a de Polignac number, because 101343429 - 213 = 101335237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29977 + ... + 33185.

It is an arithmetic number, because the mean of its divisors is an integer number (4625075).

Almost surely, 2101343429 is an apocalyptic number.

It is an amenable number.

101343429 is a deficient number, since it is larger than the sum of its proper divisors (65159271).

101343429 is a wasteful number, since it uses less digits than its factorization.

101343429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 101343429 is about 10066.9473525990. The cubic root of 101343429 is about 466.2281926229.

The spelling of 101343429 in words is "one hundred one million, three hundred forty-three thousand, four hundred twenty-nine".

Divisors: 1 3 9 11 29 33 87 99 121 261 319 363 957 1089 2871 3209 3509 9627 10527 28881 31581 35299 93061 105897 279183 317691 388289 837549 1023671 1164867 3071013 3494601 9213039 11260381 33781143 101343429