Search a number
-
+
12303311310300 = 2235273561795037
BaseRepresentation
bin1011001100001001011010…
…0000000000110111011100
31121120011222220211010022210
42303002112200000313130
53103034140143412200
642100021352040420
72406612344424633
oct263022640006734
947504886733283
1012303311310300
113a1389454058a
12146856a093110
136b32745608aa
143076aa80251a
15165086168650
hexb3096800ddc

12303311310300 has 72 divisors (see below), whose sum is σ = 36085218880816. Its totient is φ = 3235939407360.

The previous prime is 12303311310181. The next prime is 12303311310331. The reversal of 12303311310300 is 301311330321.

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, 280875619 + ... + 280919418.

Almost surely, 212303311310300 is an apocalyptic number.

12303311310300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12303311310300 is an abundant number, since it is smaller than the sum of its proper divisors (23781907570516).

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

12303311310300 is a wasteful number, since it uses less digits than its factorization.

12303311310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561795127 (or 561795120 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 12303311310300 its reverse (301311330321), we get a palindrome (12604622640621).

The spelling of 12303311310300 in words is "twelve trillion, three hundred three billion, three hundred eleven million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 561795037 1123590074 1685385111 2247180148 2808975185 3370770222 5617950370 6741540444 8426925555 11235900740 14044875925 16853851110 28089751850 33707702220 41011037701 42134627775 56179503700 82022075402 84269255550 123033113103 164044150804 168538511100 205055188505 246066226206 410110377010 492132452412 615165565515 820220754020 1025275942525 1230331131030 2050551885050 2460662262060 3075827827575 4101103770100 6151655655150 12303311310300