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423220013010 = 232537251506347
BaseRepresentation
bin1100010100010011110…
…00001110011111010010
31111110101221010020200200
412022021320032133102
523413223310404020
6522231413400030
742401533516644
oct6121170163722
91443357106620
10423220013010
111535397338a3
126a033639016
1330ba9170b02
14166abda2894
15b0201b7590
hex6289e0e7d2

423220013010 has 96 divisors (see below), whose sum is σ = 1134616496832. Its totient is φ = 109370736000.

The previous prime is 423220013009. The next prime is 423220013039. The reversal of 423220013010 is 10310022324.

423220013010 is a `hidden beast` number, since 42 + 322 + 0 + 0 + 1 + 301 + 0 = 666.

It is a super-3 number, since 3×4232200130103 (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582657 + ... + 1089003.

It is an arithmetic number, because the mean of its divisors is an integer number (11818921842).

Almost surely, 2423220013010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423220013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567308248416).

423220013010 is an abundant number, since it is smaller than the sum of its proper divisors (711396483822).

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

423220013010 is a wasteful number, since it uses less digits than its factorization.

423220013010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506648 (or 506645 counting only the distinct ones).

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

Adding to 423220013010 its reverse (10310022324), we get a palindrome (433530035334).

The spelling of 423220013010 in words is "four hundred twenty-three billion, two hundred twenty million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 251 333 370 502 555 666 753 1110 1255 1506 1665 2259 2510 3330 3765 4518 7530 9287 11295 18574 22590 27861 46435 55722 83583 92870 139305 167166 278610 417915 506347 835830 1012694 1519041 2531735 3038082 4557123 5063470 7595205 9114246 15190410 18734839 22785615 37469678 45571230 56204517 93674195 112409034 127093097 168613551 187348390 254186194 281022585 337227102 381279291 562045170 635465485 762558582 843067755 1143837873 1270930970 1686135510 1906396455 2287675746 3812792910 4702444589 5719189365 9404889178 11438378730 14107333767 23512222945 28214667534 42322001301 47024445890 70536668835 84644002602 141073337670 211610006505 423220013010