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412232011020 = 223356112514633
BaseRepresentation
bin1011111111110101111…
…00010100110100001100
31110102001011020220122000
411333322330110310030
523223222343323040
6513213214352300
741532331164504
oct5777274246414
91412034226560
10412232011020
11149910250315
1267a877bb690
132cb4788759b
1415d48936a04
15aaca6e8130
hex5ffaf14d0c

412232011020 has 96 divisors (see below), whose sum is σ = 1303524277440. Its totient is φ = 108126420480.

The previous prime is 412232011003. The next prime is 412232011033. The reversal of 412232011020 is 20110232214.

It is a happy number.

412232011020 is a `hidden beast` number, since 412 + 23 + 201 + 10 + 20 = 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 = 412232010984 and 412232011002.

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 31 ways as a sum of consecutive naturals, for example, 6224377 + ... + 6290256.

It is an arithmetic number, because the mean of its divisors is an integer number (13578377890).

Almost surely, 2412232011020 is an apocalyptic number.

It is an amenable number.

412232011020 is an abundant number, since it is smaller than the sum of its proper divisors (891292266420).

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

412232011020 is a wasteful number, since it uses less digits than its factorization.

412232011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12514712 (or 12514704 counting only the distinct ones).

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

Adding to 412232011020 its reverse (20110232214), we get a palindrome (432342243234).

The spelling of 412232011020 in words is "four hundred twelve billion, two hundred thirty-two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6588 8235 10980 16470 32940 12514633 25029266 37543899 50058532 62573165 75087798 112631697 125146330 150175596 187719495 225263394 250292660 337895091 375438990 450526788 563158485 675790182 750877980 763392613 1126316970 1351580364 1526785226 1689475455 2252633940 2290177839 3053570452 3378950910 3816963065 4580355678 6757901820 6870533517 7633926130 9160711356 11450889195 13741067034 15267852260 20611600551 22901778390 27482134068 34352667585 41223201102 45803556780 68705335170 82446402204 103058002755 137410670340 206116005510 412232011020