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34122213312 = 2631116156351
BaseRepresentation
bin11111110001110101…
…111010011111000000
310021002000222000222020
4133301311322133000
51024340241311222
623401525241440
72315403012315
oct376165723700
9107060860866
1034122213312
11135201109a0
126743563280
1332aa406c85
141919ad2d0c
15d4a99065c
hex7f1d7a7c0

34122213312 has 56 divisors (see below), whose sum is σ = 98489121792. Its totient is φ = 10340064000.

The previous prime is 34122213299. The next prime is 34122213317. The reversal of 34122213312 is 21331222143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122213317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8076064 + ... + 8080287.

Almost surely, 234122213312 is an apocalyptic number.

34122213312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34122213312 is an abundant number, since it is smaller than the sum of its proper divisors (64366908480).

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

34122213312 is a wasteful number, since it uses less digits than its factorization.

34122213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16156377 (or 16156367 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 34122213312 its reverse (21331222143), we get a palindrome (55453435455).

The spelling of 34122213312 in words is "thirty-four billion, one hundred twenty-two million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 16156351 32312702 48469053 64625404 96938106 129250808 177719861 193876212 258501616 355439722 387752424 517003232 533159583 710879444 775504848 1034006464 1066319166 1421758888 1551009696 2132638332 2843517776 3102019392 4265276664 5687035552 8530553328 11374071104 17061106656 34122213312