Search a number
-
+
311242400430 = 235131942003023
BaseRepresentation
bin1001000011101110111…
…11100010001010101110
31002202101000111010212020
410201313133202022232
520044411023303210
6354552140451010
731325606516103
oct4416737421256
91082330433766
10311242400430
1110aaa7248125
12503a2549a66
1323472037860
14110c82b0aaa
158169680770
hex48777e22ae

311242400430 has 64 divisors (see below), whose sum is σ = 846780963840. Its totient is φ = 72581222016.

The previous prime is 311242400317. The next prime is 311242400473. The reversal of 311242400430 is 34004242113.

It is a self number, because there is not a number n which added to its sum of digits gives 311242400430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20994102 + ... + 21008921.

It is an arithmetic number, because the mean of its divisors is an integer number (13230952560).

Almost surely, 2311242400430 is an apocalyptic number.

311242400430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311242400430 is an abundant number, since it is smaller than the sum of its proper divisors (535538563410).

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

311242400430 is a wasteful number, since it uses less digits than its factorization.

311242400430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42003065.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 311242400430 its reverse (34004242113), we get a palindrome (345246642543).

The spelling of 311242400430 in words is "three hundred eleven billion, two hundred forty-two million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 42003023 84006046 126009069 210015115 252018138 420030230 546039299 630045345 798057437 1092078598 1260090690 1596114874 1638117897 2394172311 2730196495 3276235794 3990287185 4788344622 5460392990 7980574370 8190589485 10374746681 11970861555 16381178970 20749493362 23941723110 31124240043 51873733405 62248480086 103747466810 155621200215 311242400430