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10354224342 = 237113185221
BaseRepresentation
bin10011010010010100…
…01110110011010110
3222201121022002120110
421221022032303112
5132201140134332
64431234543450
7514405311660
oct115112166326
928647262513
1010354224342
114433765000
12200b737b86
13c901c2387
1470320d530
1540902d4cc
hex26928ecd6

10354224342 has 64 divisors (see below), whose sum is σ = 26031840768. Its totient is φ = 2689394400.

The previous prime is 10354224313. The next prime is 10354224359. The reversal of 10354224342 is 24342245301.

10354224342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103542243423 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36709 + ... + 148512.

It is an arithmetic number, because the mean of its divisors is an integer number (406747512).

Almost surely, 210354224342 is an apocalyptic number.

10354224342 is an abundant number, since it is smaller than the sum of its proper divisors (15677616426).

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

10354224342 is a wasteful number, since it uses less digits than its factorization.

10354224342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185266 (or 185244 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10354224342 its reverse (24342245301), we get a palindrome (34696469643).

The spelling of 10354224342 in words is "ten billion, three hundred fifty-four million, two hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1331 1694 2541 2662 3993 5082 7986 9317 18634 27951 55902 185221 370442 555663 1111326 1296547 2037431 2593094 3889641 4074862 6112293 7779282 12224586 14262017 22411741 28524034 42786051 44823482 67235223 85572102 134470446 156882187 246529151 313764374 470646561 493058302 739587453 941293122 1479174906 1725704057 3451408114 5177112171 10354224342