Search a number
-
+
2301041045200 = 2452172391415851
BaseRepresentation
bin100001011111000000101…
…110111110111011010000
322010222101111200110020211
4201133000232332323100
5300200013001421300
64521030023213504
7325146641111542
oct41370056767320
98128344613224
102301041045200
11807958755817
12311b59ba7294
13138caac71651
147d529d85692
153ecc6c794ba
hex217c0bbeed0

2301041045200 has 120 divisors (see below), whose sum is σ = 5877937895040. Its totient is φ = 862649088000.

The previous prime is 2301041045153. The next prime is 2301041045201. The reversal of 2301041045200 is 25401401032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301041045201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917275 + ... + 2333125.

It is an arithmetic number, because the mean of its divisors is an integer number (48982815792).

Almost surely, 22301041045200 is an apocalyptic number.

2301041045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301041045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938968947520).

2301041045200 is an abundant number, since it is smaller than the sum of its proper divisors (3576896849840).

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

2301041045200 is a wasteful number, since it uses less digits than its factorization.

2301041045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416125 (or 1416114 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2301041045200 its reverse (25401401032), we get a palindrome (2326442446232).

The spelling of 2301041045200 in words is "two trillion, three hundred one billion, forty-one million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 239 272 340 400 425 478 680 850 956 1195 1360 1700 1912 2390 3400 3824 4063 4780 5975 6800 8126 9560 11950 16252 19120 20315 23900 32504 40630 47800 65008 81260 95600 101575 162520 203150 325040 406300 812600 1415851 1625200 2831702 5663404 7079255 11326808 14158510 22653616 24069467 28317020 35396275 48138934 56634040 70792550 96277868 113268080 120347335 141585100 192555736 240694670 283170200 338388389 385111472 481389340 566340400 601736675 676776778 962778680 1203473350 1353553556 1691941945 1925557360 2406946700 2707107112 3383883890 4813893400 5414214224 5752602613 6767767780 8459709725 9627786800 11505205226 13535535560 16919419450 23010410452 27071071120 28763013065 33838838900 46020820904 57526026130 67677677800 92041641808 115052052260 135355355600 143815065325 230104104520 287630130650 460208209040 575260261300 1150520522600 2301041045200