Search a number
-
+
34123103210 = 2574173271601
BaseRepresentation
bin11111110001111001…
…010011101111101010
310021002002122020200102
4133301321103233222
51024341003300320
623402000305402
72315413406630
oct376171235752
9107062566612
1034123103210
1113520669549
126743912262
1332aa659041
141919c85350
15d4aab9175
hex7f1e53bea

34123103210 has 128 divisors (see below), whose sum is σ = 73283954688. Its totient is φ = 11197440000.

The previous prime is 34123103129. The next prime is 34123103233. The reversal of 34123103210 is 1230132143.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56776910 + ... + 56777510.

It is an arithmetic number, because the mean of its divisors is an integer number (572530896).

Almost surely, 234123103210 is an apocalyptic number.

34123103210 is an abundant number, since it is smaller than the sum of its proper divisors (39160851478).

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

34123103210 is a wasteful number, since it uses less digits than its factorization.

34123103210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 34123103210 its reverse (1230132143), we get a palindrome (35353235353).

The spelling of 34123103210 in words is "thirty-four billion, one hundred twenty-three million, one hundred three thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 41 70 73 82 146 205 271 287 365 410 511 542 574 601 730 1022 1202 1355 1435 1897 2555 2710 2870 2993 3005 3794 4207 5110 5986 6010 8414 9485 11111 14965 18970 19783 20951 21035 22222 24641 29930 39566 41902 42070 43873 49282 55555 77777 87746 98915 104755 111110 123205 138481 155554 162871 172487 197830 209510 219365 246410 276962 307111 325742 344974 388885 438730 614222 692405 777770 811103 814355 862435 1140097 1384810 1535555 1622206 1628710 1724870 1798793 2280194 3071110 3597586 4055515 5677721 5700485 6677711 8111030 8993965 11355442 11400970 11889583 12591551 13355422 17987930 23779166 25183102 28388605 33388555 46743977 56777210 59447915 62957755 66777110 83227081 93487954 118895830 125915510 166454162 233719885 416135405 467439770 487472903 832270810 974945806 2437364515 3412310321 4874729030 6824620642 17061551605 34123103210