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34101051420 = 22351949036101
BaseRepresentation
bin11111110000100101…
…001100000000011100
310021000120010220022110
4133300211030000130
51024314332121140
623355451514020
72315025103662
oct376045140034
9107016126273
1034101051420
111350a177727
126738458910
1332a5c07a47
141916d84c32
15d48bb0380
hex7f094c01c

34101051420 has 96 divisors (see below), whose sum is σ = 100545338880. Its totient is φ = 8611833600.

The previous prime is 34101051389. The next prime is 34101051421. The reversal of 34101051420 is 2415010143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101051421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5586370 + ... + 5592470.

It is an arithmetic number, because the mean of its divisors is an integer number (1047347280).

Almost surely, 234101051420 is an apocalyptic number.

34101051420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34101051420 is an abundant number, since it is smaller than the sum of its proper divisors (66444287460).

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

34101051420 is a wasteful number, since it uses less digits than its factorization.

34101051420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11035 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 34101051420 its reverse (2415010143), we get a palindrome (36516061563).

The spelling of 34101051420 in words is "thirty-four billion, one hundred one million, fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 4903 6101 9806 12202 14709 18303 19612 24404 24515 29418 30505 36606 49030 58836 61010 73212 73545 91515 93157 98060 115919 122020 147090 183030 186314 231838 279471 294180 347757 366060 372628 463676 465785 558942 579595 695514 931570 1117884 1159190 1391028 1397355 1738785 1863140 2318380 2794710 3477570 5589420 6955140 29913203 59826406 89739609 119652812 149566015 179479218 299132030 358958436 448698045 568350857 598264060 897396090 1136701714 1705052571 1794792180 2273403428 2841754285 3410105142 5683508570 6820210284 8525262855 11367017140 17050525710 34101051420