Search a number
-
+
10021131002130 = 2351972404970507
BaseRepresentation
bin1001000111010011100111…
…1101000010000100010010
31022111000021211221101022220
42101310321331002010102
52303141234014032010
633151351035441510
72053000653035433
oct221647175020422
938430254841286
1010021131002130
113213a35222746
12115a1b45b6296
13578cb0c49c91
1426904d70348a
15125a1511a970
hex91d39f42112

10021131002130 has 64 divisors (see below), whose sum is σ = 24174147254400. Its totient is φ = 2658588355584.

The previous prime is 10021131002111. The next prime is 10021131002143. The reversal of 10021131002130 is 3120013112001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 142094337 + ... + 142164843.

It is an arithmetic number, because the mean of its divisors is an integer number (377721050850).

Almost surely, 210021131002130 is an apocalyptic number.

10021131002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021131002130 is an abundant number, since it is smaller than the sum of its proper divisors (14153016252270).

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

10021131002130 is a wasteful number, since it uses less digits than its factorization.

10021131002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94763.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10021131002130 its reverse (3120013112001), we get a palindrome (13141144114131).

The spelling of 10021131002130 in words is "ten trillion, twenty-one billion, one hundred thirty-one million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 197 394 591 985 1182 1970 2955 5910 24049 48098 70507 72147 120245 141014 144294 211521 240490 352535 360735 423042 705070 721470 1057605 2115210 4737653 9475306 13889879 14212959 23688265 27779758 28425918 41669637 47376530 69449395 71064795 83339274 138898790 142129590 208348185 416696370 1695622843 3391245686 5086868529 8478114215 10173737058 16956228430 25434342645 50868685290 334037700071 668075400142 1002113100213 1670188500355 2004226200426 3340377000710 5010565501065 10021131002130