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105344343522 = 232114331193967
BaseRepresentation
bin110001000011100000…
…0110001110111100010
3101001220121222010022200
41202013000301313202
53211221122443042
6120221114514030
710416350100645
oct1420700616742
9331817863280
10105344343522
1140749154530
12184bb735916
139c1aac39a2
145154b59a5c
152b1850dc4c
hex1887031de2

105344343522 has 96 divisors (see below), whose sum is σ = 254932254720. Its totient is φ = 31162289760.

The previous prime is 105344343491. The next prime is 105344343563. The reversal of 105344343522 is 225343443501.

105344343522 is a `hidden beast` number, since 1 + 0 + 53 + 4 + 43 + 43 + 522 = 666.

It is a super-2 number, since 2×1053443435222 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26553183 + ... + 26557149.

It is an arithmetic number, because the mean of its divisors is an integer number (2655544320).

Almost surely, 2105344343522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105344343522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127466127360).

105344343522 is an abundant number, since it is smaller than the sum of its proper divisors (149587911198).

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

105344343522 is a wasteful number, since it uses less digits than its factorization.

105344343522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 105344343522 in words is "one hundred five billion, three hundred forty-four million, three hundred forty-three thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 3119 3967 4257 6238 7934 8514 9357 11901 18714 23802 28071 34309 35703 43637 56142 68618 71406 87274 102927 130911 134117 170581 205854 261822 268234 308781 341162 392733 402351 511743 617562 785466 804702 1023486 1207053 1475287 1535229 1876391 2414106 2950574 3070458 3752782 4425861 5629173 8851722 11258346 12373073 13277583 16887519 24746146 26555166 33775038 37119219 74238438 111357657 136103803 222715314 272207606 408311409 532042139 816622818 1064084278 1224934227 1596126417 2449868454 3192252834 4788379251 5852463529 9576758502 11704927058 17557390587 35114781174 52672171761 105344343522