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101061324 = 223372132113
BaseRepresentation
bin1100000011000…
…01001011001100
321001011110002000
412001201023030
5201332430244
614010032300
72335002300
oct601411314
9231143060
10101061324
1152056961
1229a18690
1317c25900
14d5c9d00
158d14169
hex60612cc

101061324 has 216 divisors, whose sum is σ = 332957520. Its totient is φ = 26417664.

The previous prime is 101061313. The next prime is 101061341. The reversal of 101061324 is 423160101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101061297 and 101061306.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 894292 + ... + 894404.

It is an arithmetic number, because the mean of its divisors is an integer number (1541470).

Almost surely, 2101061324 is an apocalyptic number.

101061324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101061324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166478760).

101061324 is an abundant number, since it is smaller than the sum of its proper divisors (231896196).

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

101061324 is a wasteful number, since it uses less digits than its factorization.

101061324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101061324 is about 10052.9261411790. The cubic root of 101061324 is about 465.7951846652.

The spelling of 101061324 in words is "one hundred one million, sixty-one thousand, three hundred twenty-four".