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10354432530 = 23513167158981
BaseRepresentation
bin10011010010010110…
…00001101000010010
3222201121200200011010
421221023001220102
5132201213320110
64431243231350
7514410136641
oct115113015022
928647620133
1010354432530
114433897462
12200b818556
13c90266070
14703265358
15409070020
hex2692c1a12

10354432530 has 64 divisors (see below), whose sum is σ = 26922647808. Its totient is φ = 2533505280.

The previous prime is 10354432511. The next prime is 10354432547. The reversal of 10354432530 is 3523445301.

It is a super-3 number, since 3×103544325303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 14361 + ... + 144620.

It is an arithmetic number, because the mean of its divisors is an integer number (420666372).

Almost surely, 210354432530 is an apocalyptic number.

10354432530 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 10354432530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461323904).

10354432530 is an abundant number, since it is smaller than the sum of its proper divisors (16568215278).

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

10354432530 is a wasteful number, since it uses less digits than its factorization.

10354432530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159171.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 10354432530 its reverse (3523445301), we get a palindrome (13877877831).

The spelling of 10354432530 in words is "ten billion, three hundred fifty-four million, four hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 167 195 334 390 501 835 1002 1670 2171 2505 4342 5010 6513 10855 13026 21710 32565 65130 158981 317962 476943 794905 953886 1589810 2066753 2384715 4133506 4769430 6200259 10333765 12400518 20667530 26549827 31001295 53099654 62002590 79649481 132749135 159298962 265498270 345147751 398247405 690295502 796494810 1035443253 1725738755 2070886506 3451477510 5177216265 10354432530