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105105315234 = 231741137183451
BaseRepresentation
bin110000111100011000…
…0111101010110100010
3101001021222012020011010
41201320300331112202
53210223430041414
6120141255401350
710410415303323
oct1417060752642
9331258166133
10105105315234
1140636234a97
1218453683256
139bb042322a
1451310d844a
152b02545959
hex1878c3d5a2

105105315234 has 64 divisors (see below), whose sum is σ = 229670163072. Its totient is φ = 31934976000.

The previous prime is 105105315191. The next prime is 105105315257. The reversal of 105105315234 is 432513501501.

It is a super-3 number, since 3×1051053152343 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 481209 + ... + 664659.

It is an arithmetic number, because the mean of its divisors is an integer number (3588596298).

Almost surely, 2105105315234 is an apocalyptic number.

105105315234 is an abundant number, since it is smaller than the sum of its proper divisors (124564847838).

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

105105315234 is a wasteful number, since it uses less digits than its factorization.

105105315234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183651.

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 105105315234 its reverse (432513501501), we get a palindrome (537618816735).

The spelling of 105105315234 in words is "one hundred five billion, one hundred five million, three hundred fifteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 17 34 41 51 82 102 123 137 246 274 411 697 822 1394 2091 2329 4182 4658 5617 6987 11234 13974 16851 33702 95489 183451 190978 286467 366902 550353 572934 1100706 3118667 6237334 7521491 9356001 15042982 18712002 22564473 25132787 45128946 50265574 75398361 127865347 150796722 255730694 383596041 427257379 767192082 854514758 1030444267 1281772137 2060888534 2563544274 3091332801 6182665602 17517552539 35035105078 52552657617 105105315234