Search a number
-
+
10142601361230 = 2351322000513089
BaseRepresentation
bin1001001110011000001000…
…1001101011011101001110
31022220121211022211222022210
42103212002021223131032
52312134021422024410
633323240255051250
72064531055044162
oct223460211533516
938817738758283
1010142601361230
1132604a9062378
121179854810b26
1358759b948c00
14270c94034ca2
15128c74213220
hex9398226b74e

10142601361230 has 48 divisors (see below), whose sum is σ = 26358760473840. Its totient is φ = 2496640333824.

The previous prime is 10142601361213. The next prime is 10142601361241. The reversal of 10142601361230 is 3216310624101.

It is a super-2 number, since 2×101426013612302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000251475 + ... + 1000261614.

It is an arithmetic number, because the mean of its divisors is an integer number (549140843205).

Almost surely, 210142601361230 is an apocalyptic number.

10142601361230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10142601361230 is an abundant number, since it is smaller than the sum of its proper divisors (16216159112610).

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

10142601361230 is a wasteful number, since it uses less digits than its factorization.

10142601361230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000513125 (or 2000513112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 10142601361230 its reverse (3216310624101), we get a palindrome (13358911985331).

The spelling of 10142601361230 in words is "ten trillion, one hundred forty-two billion, six hundred one million, three hundred sixty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 2000513089 4001026178 6001539267 10002565445 12003078534 20005130890 26006670157 30007696335 52013340314 60015392670 78020010471 130033350785 156040020942 260066701570 338086712041 390100052355 676173424082 780200104710 1014260136123 1690433560205 2028520272246 3380867120410 5071300680615 10142601361230