Search a number
-
+
100630402624 = 264158816521
BaseRepresentation
bin101110110111000001…
…0100001011001000000
3100121202002212010002001
41131232002201121000
53122042340340444
6114121242433344
710161500211013
oct1355602413100
9317662763061
10100630402624
113974a269a04
1217604b02854
1396492c164b
144c28a7d37a
15293e7608d4
hex176e0a1640

100630402624 has 56 divisors (see below), whose sum is σ = 204625062936. Its totient is φ = 49072128000.

The previous prime is 100630402619. The next prime is 100630402657. The reversal of 100630402624 is 426204036001.

It can be written as a sum of positive squares in 4 ways, for example, as 27423360000 + 73207042624 = 165600^2 + 270568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100630402592 and 100630402601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15428484 + ... + 15435004.

It is an arithmetic number, because the mean of its divisors is an integer number (3654018981).

Almost surely, 2100630402624 is an apocalyptic number.

It is an amenable number.

100630402624 is an abundant number, since it is smaller than the sum of its proper divisors (103994660312).

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

100630402624 is an equidigital number, since it uses as much as digits as its factorization.

100630402624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 100630402624 its reverse (426204036001), we get a palindrome (526834438625).

The spelling of 100630402624 in words is "one hundred billion, six hundred thirty million, four hundred two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 5881 6521 11762 13042 23524 26084 47048 52168 94096 104336 188192 208672 241121 267361 376384 417344 482242 534722 964484 1069444 1928968 2138888 3857936 4277776 7715872 8555552 15431744 17111104 38350001 76700002 153400004 306800008 613600016 1227200032 1572350041 2454400064 3144700082 6289400164 12578800328 25157600656 50315201312 100630402624