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34022431311110 = 25112912783979047
BaseRepresentation
bin1111011110001011101101…
…11011101100010100000110
311110110111211201212010111122
413233011312323230110012
513424410414403423420
6200205404510033542
710111016364401654
oct757056673542406
9143414751763448
1034022431311110
11a92791756a770
1239959374a88b2
1315ca3bc541c28
148589a1861dd4
153e00051ad725
hex1ef176eec506

34022431311110 has 64 divisors (see below), whose sum is σ = 69655581573120. Its totient is φ = 11851122971520.

The previous prime is 34022431311109. The next prime is 34022431311269. The reversal of 34022431311110 is 1111313422043.

It is a super-2 number, since 2×340224313111102 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34022431311110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41584394 + ... + 42394653.

It is an arithmetic number, because the mean of its divisors is an integer number (1088368462080).

Almost surely, 234022431311110 is an apocalyptic number.

34022431311110 is an abundant number, since it is smaller than the sum of its proper divisors (35633150262010).

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

34022431311110 is a wasteful number, since it uses less digits than its factorization.

34022431311110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83979221.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 34022431311110 its reverse (1111313422043), we get a palindrome (35133744733153).

The spelling of 34022431311110 in words is "thirty-four trillion, twenty-two billion, four hundred thirty-one million, three hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 127 145 254 290 319 635 638 1270 1397 1595 2794 3190 3683 6985 7366 13970 18415 36830 40513 81026 202565 405130 83979047 167958094 419895235 839790470 923769517 1847539034 2435392363 4618847585 4870784726 9237695170 10665338969 12176961815 21330677938 24353923630 26789315993 53326694845 53578631986 106653389690 117318728659 133946579965 234637457318 267893159930 309294830101 586593643295 618589660202 1173187286590 1546474150505 3092948301010 3402243131111 6804486262222 17011215655555 34022431311110