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103431342322 = 27112434013541
BaseRepresentation
bin110000001010011111…
…1010000100011110010
3100212222022022121000101
41200110333100203302
53143311410423242
6115303220343014
710321060621660
oct1402477204362
9325868277011
10103431342322
113a957329400
1218066b44a6a
1399a468a509
145012a69c30
152a555d39b7
hex1814fd08f2

103431342322 has 96 divisors (see below), whose sum is σ = 199981660032. Its totient is φ = 39251520000.

The previous prime is 103431342293. The next prime is 103431342409. The reversal of 103431342322 is 223243134301.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 29207872 + ... + 29211412.

It is an arithmetic number, because the mean of its divisors is an integer number (2083142292).

Almost surely, 2103431342322 is an apocalyptic number.

103431342322 is a deficient number, since it is larger than the sum of its proper divisors (96550317710).

103431342322 is a wasteful number, since it uses less digits than its factorization.

103431342322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 103431342322 its reverse (223243134301), we get a palindrome (326674476623).

The spelling of 103431342322 in words is "one hundred three billion, four hundred thirty-one million, three hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 7 11 14 22 43 77 86 121 154 242 301 401 473 602 802 847 946 1694 2807 3311 3541 4411 5203 5614 6622 7082 8822 10406 17243 24787 30877 34486 36421 38951 48521 49574 61754 72842 77902 97042 120701 152263 189673 241402 272657 304526 339647 379346 428461 545314 679294 856922 1065841 1327711 1419941 1674893 2086403 2131682 2655422 2839882 2999227 3349786 4172806 5998454 9939587 11724251 14604821 15619351 18423823 19879174 23448502 29209642 31238702 36847646 61057463 109335457 122114926 128966761 171812861 218670914 257933522 343625722 427402241 671632093 854804482 1202690027 1343264186 2405380054 4701424651 7387953023 9402849302 14775906046 51715671161 103431342322