Search a number
-
+
230400120001110 = 23546765345195573
BaseRepresentation
bin110100011000110000110101…
…010011110001001001010110
31010012210000222111200212121220
4310120300311103301021112
5220144333421210013420
62134004204240551210
766346600520632353
oct6430606523611126
91105700874625556
10230400120001110
116745a162249374
1221a11106022506
139b7383ab63a27
1440c75d508d62a
151b98381067840
hexd18c354f1256

230400120001110 has 128 divisors (see below), whose sum is σ = 555215391544320. Its totient is φ = 61190053618176.

The previous prime is 230400120001109. The next prime is 230400120001127. The reversal of 230400120001110 is 11100021004032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230400120001110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41342204284 + ... + 41342209856.

It is an arithmetic number, because the mean of its divisors is an integer number (4337620246440).

Almost surely, 2230400120001110 is an apocalyptic number.

230400120001110 is an abundant number, since it is smaller than the sum of its proper divisors (324815271543210).

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

230400120001110 is a wasteful number, since it uses less digits than its factorization.

230400120001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 230400120001110 its reverse (11100021004032), we get a palindrome (241500141005142).

The spelling of 230400120001110 in words is "two hundred thirty trillion, four hundred billion, one hundred twenty million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 467 653 934 1306 1401 1959 2335 2802 3265 3918 4519 4670 5573 6530 7005 9038 9795 11146 13557 14010 16719 19590 22595 27114 27865 33438 45190 55730 67785 83595 135570 167190 304951 609902 914853 1524755 1829706 2110373 2602591 2950907 3049510 3639169 4220746 4574265 5205182 5901814 6331119 7278338 7807773 8852721 9148530 10551865 10917507 12662238 13012955 14754535 15615546 17705442 18195845 21103730 21835014 25184387 26025910 29509070 31655595 36391690 39038865 44263605 50368774 54587535 63311190 75553161 78077730 88527210 109175070 125921935 151106322 251843870 377765805 755531610 1378073569 1699491923 2756147138 3398983846 4134220707 5098475769 6890367845 8268441414 8497459615 10196951538 11761108729 13780735690 16445404711 16994919230 20671103535 23522217458 25492378845 32890809422 35283326187 41342207070 49336214133 50984757690 58805543645 70566652374 82227023555 98672428266 117611087290 164454047110 176416630935 246681070665 352833261870 493362141330 7680004000037 15360008000074 23040012000111 38400020000185 46080024000222 76800040000370 115200060000555 230400120001110