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412230001320 = 233253559321743
BaseRepresentation
bin1011111111110101101…
…00101010001010101000
31110102001000110210211200
411333322310222022220
523223221340020240
6513213103324200
741532305124354
oct5777264521250
91412030423750
10412230001320
1114990a0a8405
1267a86bb0660
132cb47332907
1415d48572464
15aaca44c930
hex5ffad2a2a8

412230001320 has 96 divisors (see below), whose sum is σ = 1340128108800. Its totient is φ = 109896771456.

The previous prime is 412230001297. The next prime is 412230001327. The reversal of 412230001320 is 23100032214.

412230001320 is a `hidden beast` number, since 41 + 2 + 2 + 300 + 0 + 1 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 412230001293 and 412230001302.

It is not an unprimeable number, because it can be changed into a prime (412230001327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120369 + ... + 1442111.

It is an arithmetic number, because the mean of its divisors is an integer number (13959667800).

Almost surely, 2412230001320 is an apocalyptic number.

412230001320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412230001320 is an abundant number, since it is smaller than the sum of its proper divisors (927898107480).

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

412230001320 is a wasteful number, since it uses less digits than its factorization.

412230001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325319 (or 325312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 412230001320 its reverse (23100032214), we get a palindrome (435330033534).

The spelling of 412230001320 in words is "four hundred twelve billion, two hundred thirty million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3559 7118 10677 14236 17795 21354 28472 32031 35590 42708 53385 64062 71180 85416 106770 128124 142360 160155 213540 256248 320310 321743 427080 640620 643486 965229 1281240 1286972 1608715 1930458 2573944 2895687 3217430 3860916 4826145 5791374 6434860 7721832 9652290 11582748 12869720 14478435 19304580 23165496 28956870 38609160 57913740 115827480 1145083337 2290166674 3435250011 4580333348 5725416685 6870500022 9160666696 10305750033 11450833370 13741000044 17176250055 20611500066 22901666740 27482000088 34352500110 41223000132 45803333480 51528750165 68705000220 82446000264 103057500330 137410000440 206115000660 412230001320