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101435430 = 235171031931
BaseRepresentation
bin1100000101111…
…00100000100110
321001212110020210
412002330200212
5201431413210
614022040250
72341121055
oct602744046
9231773223
10101435430
1152291a38
1229b79086
1318026c85
14d68639c
158d89e20
hex60bc826

101435430 has 64 divisors (see below), whose sum is σ = 260402688. Its totient is φ = 25198080.

The previous prime is 101435423. The next prime is 101435431. The reversal of 101435430 is 34534101.

It is a junction number, because it is equal to n+sod(n) for n = 101435397 and 101435406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101435431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51565 + ... + 53495.

It is an arithmetic number, because the mean of its divisors is an integer number (4068792).

Almost surely, 2101435430 is an apocalyptic number.

101435430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101435430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130201344).

101435430 is an abundant number, since it is smaller than the sum of its proper divisors (158967258).

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

101435430 is a wasteful number, since it uses less digits than its factorization.

101435430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 101435430 is about 10071.5157746985. The cubic root of 101435430 is about 466.3692328039.

Adding to 101435430 its reverse (34534101), we get a palindrome (135969531).

The spelling of 101435430 in words is "one hundred one million, four hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 103 170 206 255 309 510 515 618 1030 1545 1751 1931 3090 3502 3862 5253 5793 8755 9655 10506 11586 17510 19310 26265 28965 32827 52530 57930 65654 98481 164135 196962 198893 328270 397786 492405 596679 984810 994465 1193358 1988930 2983395 3381181 5966790 6762362 10143543 16905905 20287086 33811810 50717715 101435430