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101289402 = 23229613181
BaseRepresentation
bin1100000100110…
…00110110111010
321001121000221100
412002120312322
5201412230102
614014552230
72336642244
oct602306672
9231530840
10101289402
11521a2255
1229b08676
1317ca5676
14d649094
158d5ba1c
hex6098dba

101289402 has 48 divisors (see below), whose sum is σ = 230822280. Its totient is φ = 32054400.

The previous prime is 101289367. The next prime is 101289407. The reversal of 101289402 is 204982101.

It can be written as a sum of positive squares in 4 ways, for example, as 35533521 + 65755881 = 5961^2 + 8109^2 .

It is not an unprimeable number, because it can be changed into a prime (101289407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30252 + ... + 33432.

Almost surely, 2101289402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101289402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115411140).

101289402 is an abundant number, since it is smaller than the sum of its proper divisors (129532878).

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

101289402 is a wasteful number, since it uses less digits than its factorization.

101289402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101289402 is about 10064.2636094252. The cubic root of 101289402 is about 466.1453278916.

The spelling of 101289402 in words is "one hundred one million, two hundred eighty-nine thousand, four hundred two".

Divisors: 1 2 3 6 9 18 29 58 61 87 122 174 183 261 366 522 549 1098 1769 3181 3538 5307 6362 9543 10614 15921 19086 28629 31842 57258 92249 184498 194041 276747 388082 553494 582123 830241 1164246 1660482 1746369 3492738 5627189 11254378 16881567 33763134 50644701 101289402