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101434452 = 22375997211
BaseRepresentation
bin1100000101111…
…00010001010100
321001212101220120
412002330101110
5201431400302
614022031540
72341115160
oct602742124
9231771816
10101434452
1152291229
1229b785b0
13180266b2
14d685ca0
158d899bc
hex60bc454

101434452 has 96 divisors (see below), whose sum is σ = 279229440. Its totient is φ = 28062720.

The previous prime is 101434447. The next prime is 101434469. The reversal of 101434452 is 254434101.

It is a congruent number.

It is an unprimeable number.

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, 480627 + ... + 480837.

It is an arithmetic number, because the mean of its divisors is an integer number (2908640).

Almost surely, 2101434452 is an apocalyptic number.

101434452 is a gapful number since it is divisible by the number (12) 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 101434452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139614720).

101434452 is an abundant number, since it is smaller than the sum of its proper divisors (177794988).

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

101434452 is a wasteful number, since it uses less digits than its factorization.

101434452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 101434452 is about 10071.4672218103. The cubic root of 101434452 is about 466.3677339504.

Adding to 101434452 its reverse (254434101), we get a palindrome (355868553).

The spelling of 101434452 in words is "one hundred one million, four hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 97 118 177 194 211 236 291 354 388 413 422 582 633 679 708 826 844 1164 1239 1266 1358 1477 1652 2037 2478 2532 2716 2954 4074 4431 4956 5723 5908 8148 8862 11446 12449 17169 17724 20467 22892 24898 34338 37347 40061 40934 49796 61401 68676 74694 80122 81868 87143 120183 122802 143269 149388 160244 174286 240366 245604 261429 286538 348572 429807 480732 522858 573076 859614 1045716 1207553 1719228 2415106 3622659 4830212 7245318 8452871 14490636 16905742 25358613 33811484 50717226 101434452