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34214011001130 = 2353176947840389
BaseRepresentation
bin1111100011110000100011…
…11110001101100100101010
311111010211100020211202012110
413301320101332031210222
513441030243304014010
6200433411043423150
710130611042034202
oct761702176154452
9144124306752173
1034214011001130
11a9a10982863a4
123a06aa3084ab6
1316124a121815c
14863d77509402
153e4eb92b1120
hex1f1e11f8d92a

34214011001130 has 64 divisors (see below), whose sum is σ = 84872679091200. Its totient is φ = 8817940316160.

The previous prime is 34214011001129. The next prime is 34214011001207. The reversal of 34214011001130 is 3110011041243.

It is a super-2 number, since 2×342140110011302 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34214011001097 and 34214011001106.

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, 23205025 + ... + 24635364.

It is an arithmetic number, because the mean of its divisors is an integer number (1326135610800).

Almost surely, 234214011001130 is an apocalyptic number.

34214011001130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34214011001130 is an abundant number, since it is smaller than the sum of its proper divisors (50658668090070).

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

34214011001130 is a wasteful number, since it uses less digits than its factorization.

34214011001130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47841199.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 34214011001130 its reverse (3110011041243), we get a palindrome (37324022042373).

The spelling of 34214011001130 in words is "thirty-four trillion, two hundred fourteen billion, eleven million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 769 930 1538 2307 3845 4614 7690 11535 23070 23839 47678 71517 119195 143034 238390 357585 715170 47840389 95680778 143521167 239201945 287042334 478403890 717605835 1435211670 1483052059 2966104118 4449156177 7415260295 8898312354 14830520590 22245780885 36789259141 44491561770 73578518282 110367777423 183946295705 220735554846 367892591410 551838887115 1103677774230 1140467033371 2280934066742 3421401100113 5702335166855 6842802200226 11404670333710 17107005500565 34214011001130