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101332430020 = 22543463254489
BaseRepresentation
bin101111001011111100…
…0100010110011000100
3100200120000211210121201
41132113320202303010
53130012100230040
6114315041352244
710215053305063
oct1362770426304
9320500753551
10101332430020
1139a7a573538
1217780038684
13972b890783
144c93dc41da
1529811d3a9a
hex1797e22cc4

101332430020 has 48 divisors (see below), whose sum is σ = 218218049280. Its totient is φ = 39504681216.

The previous prime is 101332429987. The next prime is 101332430041. The reversal of 101332430020 is 20034233101.

It is a super-2 number, since 2×1013324300202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101332430020.

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 15 ways as a sum of consecutive naturals, for example, 270936 + ... + 525424.

It is an arithmetic number, because the mean of its divisors is an integer number (4546209360).

Almost surely, 2101332430020 is an apocalyptic number.

101332430020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101332430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109109024640).

101332430020 is an abundant number, since it is smaller than the sum of its proper divisors (116885619260).

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

101332430020 is a wasteful number, since it uses less digits than its factorization.

101332430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255004 (or 255002 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 101332430020 its reverse (20034233101), we get a palindrome (121366663121).

The spelling of 101332430020 in words is "one hundred one billion, three hundred thirty-two million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 463 860 926 1852 2315 4630 9260 19909 39818 79636 99545 199090 254489 398180 508978 1017956 1272445 2544890 5089780 10943027 21886054 43772108 54715135 109430270 117828407 218860540 235656814 471313628 589142035 1178284070 2356568140 5066621501 10133243002 20266486004 25333107505 50666215010 101332430020