Search a number
-
+
304131100114100 = 225274110596902443
BaseRepresentation
bin100010100100110110000101…
…0001011111111110010110100
31110212211122112021122010020202
41011021230022023333302310
5304330340443112122400
62554455522032420032
7121026514115200250
oct10511541213776264
91425748467563222
10304131100114100
11889a6303373226
122a13a78a0a7618
1310091593c9595c
1455160493ad260
1525262340374d5
hex1149b0a2ffcb4

304131100114100 has 72 divisors (see below), whose sum is σ = 772641350996928. Its totient is φ = 101730263443200.

The previous prime is 304131100114097. The next prime is 304131100114129. The reversal of 304131100114100 is 1411001131403.

It is a super-2 number, since 2×3041311001141002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5298422522 + ... + 5298479921.

Almost surely, 2304131100114100 is an apocalyptic number.

It is an amenable number.

304131100114100 is an abundant number, since it is smaller than the sum of its proper divisors (468510250882828).

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

304131100114100 is a wasteful number, since it uses less digits than its factorization.

304131100114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10596902505 (or 10596902498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 304131100114100 its reverse (1411001131403), we get a palindrome (305542101245503).

The spelling of 304131100114100 in words is "three hundred four trillion, one hundred thirty-one billion, one hundred million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 14350 28700 10596902443 21193804886 42387609772 52984512215 74178317101 105969024430 148356634202 211938048860 264922561075 296713268404 370891585505 434473000163 529845122150 741783171010 868946000326 1059690244300 1483566342020 1737892000652 1854457927525 2172365000815 3041311001141 3708915855050 4344730001630 6082622002282 7417831710100 8689460003260 10861825004075 12165244004564 15206555005705 21723650008150 30413110011410 43447300016300 60826220022820 76032775028525 152065550057050 304131100114100