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100414311230 = 25173173261013
BaseRepresentation
bin101110110000100101…
…0001100101100111110
3100121012001020112102002
41131201022030230332
53121122030424410
6114044003102302
710153234363652
oct1354112145476
9317161215362
10100414311230
1139649296282
1217564671992
1396135c200c
144c080aca62
15292a7c87a5
hex176128cb3e

100414311230 has 64 divisors (see below), whose sum is σ = 200258293248. Its totient is φ = 36082298880.

The previous prime is 100414311223. The next prime is 100414311241. The reversal of 100414311230 is 32113414001.

It is a super-2 number, since 2×1004143112302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 254204 + ... + 515216.

It is an arithmetic number, because the mean of its divisors is an integer number (3129035832).

Almost surely, 2100414311230 is an apocalyptic number.

100414311230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100414311230 is a deficient number, since it is larger than the sum of its proper divisors (99843982018).

100414311230 is a wasteful number, since it uses less digits than its factorization.

100414311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261141.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100414311230 its reverse (32113414001), we get a palindrome (132527725231).

The spelling of 100414311230 in words is "one hundred billion, four hundred fourteen million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 5 10 17 31 34 62 73 85 146 155 170 310 365 527 730 1054 1241 2263 2482 2635 4526 5270 6205 11315 12410 22630 38471 76942 192355 261013 384710 522026 1305065 2610130 4437221 8091403 8874442 16182806 19053949 22186105 38107898 40457015 44372210 80914030 95269745 137553851 190539490 275107702 323917133 590672419 647834266 687769255 1181344838 1375538510 1619585665 2953362095 3239171330 5906724190 10041431123 20082862246 50207155615 100414311230