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101420334 = 23217431769
BaseRepresentation
bin1100000101110…
…00110100101110
321001211200112200
412002320310232
5201430422314
614021442330
72341026051
oct602706456
9231750480
10101420334
1152281664
1229b703a6
1318020142
14d680a98
158d85709
hex60b8d2e

101420334 has 48 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 31703040.

The previous prime is 101420329. The next prime is 101420353. The reversal of 101420334 is 433024101.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 131502 + ... + 132270.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2101420334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101420334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

101420334 is an abundant number, since it is smaller than the sum of its proper divisors (132092946).

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

101420334 is a wasteful number, since it uses less digits than its factorization.

101420334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101420334 is about 10070.7663064933. The cubic root of 101420334 is about 466.3460960517.

Adding to 101420334 its reverse (433024101), we get a palindrome (534444435).

The spelling of 101420334 in words is "one hundred one million, four hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 431 769 862 1293 1538 2307 2586 3879 4614 6921 7327 7758 13073 13842 14654 21981 26146 39219 43962 65943 78438 117657 131886 235314 331439 662878 994317 1988634 2982951 5634463 5965902 11268926 16903389 33806778 50710167 101420334