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4212101304 = 2333127233659
BaseRepresentation
bin1111101100001111…
…1001000010111000
3101212112210220202000
43323003321002320
532111244220204
61533543541000
7206244161505
oct37303710270
911775726660
104212101304
111871692064
1299675a760
13521854b48
142bd5a64ac
15199bc0039
hexfb0f90b8

4212101304 has 128 divisors (see below), whose sum is σ = 11860992000. Its totient is φ = 1384895232.

The previous prime is 4212101291. The next prime is 4212101321. The reversal of 4212101304 is 4031012124.

4212101304 is a `hidden beast` number, since 421 + 210 + 1 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6391327 + ... + 6391985.

It is an arithmetic number, because the mean of its divisors is an integer number (92664000).

Almost surely, 24212101304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212101304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930496000).

4212101304 is an abundant number, since it is smaller than the sum of its proper divisors (7648890696).

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

4212101304 is a wasteful number, since it uses less digits than its factorization.

4212101304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4212101304 is about 64900.7034168352. The cubic root of 4212101304 is about 1614.9767308389.

Adding to 4212101304 its reverse (4031012124), we get a palindrome (8243113428).

The spelling of 4212101304 in words is "four billion, two hundred twelve million, one hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 233 254 381 466 508 659 699 762 932 1016 1143 1318 1398 1524 1864 1977 2097 2286 2636 2796 3048 3429 3954 4194 4572 5272 5592 5931 6291 6858 7908 8388 9144 11862 12582 13716 15816 16776 17793 23724 25164 27432 29591 35586 47448 50328 59182 71172 83693 88773 118364 142344 153547 167386 177546 236728 251079 266319 307094 334772 355092 460641 502158 532638 614188 669544 710184 753237 798957 921282 1004316 1065276 1228376 1381923 1506474 1597914 1842564 2008632 2130552 2259711 2763846 3012948 3195828 3685128 4145769 4519422 5527692 6025896 6391656 8291538 9038844 11055384 16583076 18077688 19500469 33166152 39000938 58501407 78001876 117002814 156003752 175504221 234005628 351008442 468011256 526512663 702016884 1053025326 1404033768 2106050652 4212101304