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10130042323401 = 371113171051188801
BaseRepresentation
bin1001001101101001010110…
…0100110000000111001001
31022212102102001210202020120
42103122111210300013021
52311432311313322101
633313402135213453
72063604615014430
oct223322544600711
938772361722216
1010130042323401
113256143890370
12117732a817289
13586349a2b290
14270422094117
1512878b866b36
hex936959301c9

10130042323401 has 128 divisors (see below), whose sum is σ = 19220031516672. Its totient is φ = 4567449600000.

The previous prime is 10130042323393. The next prime is 10130042323403. The reversal of 10130042323401 is 10432324003101.

It is a happy number.

It is not a de Polignac number, because 10130042323401 - 23 = 10130042323393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10130042323403) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 53560201 + ... + 53749001.

It is an arithmetic number, because the mean of its divisors is an integer number (150156496224).

Almost surely, 210130042323401 is an apocalyptic number.

10130042323401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10130042323401 is a deficient number, since it is larger than the sum of its proper divisors (9089989193271).

10130042323401 is a wasteful number, since it uses less digits than its factorization.

10130042323401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189903.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10130042323401 its reverse (10432324003101), we get a palindrome (20562366326502).

The spelling of 10130042323401 in words is "ten trillion, one hundred thirty billion, forty-two million, three hundred twenty-three thousand, four hundred one".

Divisors: 1 3 7 11 13 17 21 33 39 51 77 91 119 143 187 221 231 273 357 429 561 663 1001 1051 1309 1547 2431 3003 3153 3927 4641 7293 7357 11561 13663 17017 17867 22071 34683 40989 51051 53601 80927 95641 125069 150293 188801 196537 232271 242781 286923 375207 450879 566403 589611 696813 1052051 1321607 1375759 1625897 2076811 2454413 2554981 3156153 3209617 3964821 4127277 4877691 6230433 7363239 7664943 9628851 14537677 17180891 17884867 22467319 26998543 35305787 41725021 43613031 51542673 53654601 67401957 80995629 105917361 125175063 188989801 198429851 247140509 292075147 458975231 566969403 595289553 741421527 876225441 1376925693 1389008957 2182728361 2579588063 3212826617 3373307467 4167026871 6548185083 7738764189 9638479851 10119922401 15279098527 18057116441 23613152269 28375468693 37106382137 43852997071 45837295581 54171349323 70839456807 85126406079 111319146411 131558991213 198628280851 259744674959 306970979497 482382967781 595884842553 779234024877 920912938491 1447148903343 3376680774467 10130042323401