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230400211120002 = 232721195467248753
BaseRepresentation
bin110100011000110000111010…
…101111010110111110000010
31010012210001012212011012020200
4310120300322233112332002
5220144334113021320002
62134004221253550030
766346603005265200
oct6430607257267602
91105701185135220
10230400211120002
116745a1a9724340
1221a11130645316
139b738539b8031
1440c760320c070
151b98389065b1c
hexd18c3abd6f82

230400211120002 has 144 divisors (see below), whose sum is σ = 633502898357472. Its totient is φ = 59843343248640.

The previous prime is 230400211119979. The next prime is 230400211120081. The reversal of 230400211120002 is 200021112004032.

It is a happy number.

230400211120002 is a `hidden beast` number, since 2 + 30 + 400 + 21 + 11 + 200 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 926096458 + ... + 926345210.

It is an arithmetic number, because the mean of its divisors is an integer number (4399325683038).

Almost surely, 2230400211120002 is an apocalyptic number.

230400211120002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

230400211120002 is an abundant number, since it is smaller than the sum of its proper divisors (403102687237470).

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

230400211120002 is a wasteful number, since it uses less digits than its factorization.

230400211120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344253 (or 344243 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 230400211120002 its reverse (200021112004032), we get a palindrome (430421323124034).

The spelling of 230400211120002 in words is "two hundred thirty trillion, four hundred billion, two hundred eleven million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 95467 190934 248753 286401 497506 572802 668269 746259 859203 1050137 1336538 1492518 1718406 1741271 2004807 2100274 2238777 2736283 3150411 3482542 4009614 4477554 4677883 5223813 5472566 6014421 6300822 7350959 8208849 9355766 9451233 10447626 12028842 12188897 14033649 14701918 15671439 16417698 18902466 19153981 22052877 24377794 24626547 28067298 31342878 36566691 38307962 42100947 44105754 49253094 51456713 57461943 66158631 73133382 84201894 102913426 109700073 114923886 132317262 134077867 154370139 172385829 219400146 268155734 308740278 344771658 402233601 463110417 804467202 926220834 1206700803 2413401606 23747702651 47495405302 71243107953 142486215906 166233918557 213729323859 261224729161 332467837114 427458647718 498701755671 522449458322 783674187483 997403511342 1163637429899 1496105267013 1567348374966 1828573104127 2327274859798 2351022562449 2992210534026 3490912289697 3657146208254 4702045124898 5485719312381 6981824579394 10472736869091 10971438624762 12800011728889 16457157937143 20945473738182 25600023457778 32914315874286 38400035186667 76800070373334 115200105560001 230400211120002