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2301131200000 = 29551438207
BaseRepresentation
bin100001011111000110000…
…110111001011000000000
322010222121210022210101111
4201133012012321120000
5300200204041400000
64521043003413104
7325152114320533
oct41370606713000
98128553283344
102301131200000
118079a4632416
12311b84224194
13138cc3848b99
147d537d32a1a
153ecceb36cba
hex217c61b9600

2301131200000 has 120 divisors (see below), whose sum is σ = 5746846178304. Its totient is φ = 920451840000.

The previous prime is 2301131199977. The next prime is 2301131200019. The reversal of 2301131200000 is 21311032.

It is a super-2 number, since 2×23011312000002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880897 + ... + 2319103.

Almost surely, 22301131200000 is an apocalyptic number.

2301131200000 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 2301131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873423089152).

2301131200000 is an abundant number, since it is smaller than the sum of its proper divisors (3445714978304).

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

2301131200000 is an frugal number, since it uses more digits than its factorization.

2301131200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438250 (or 1438214 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2301131200000 its reverse (21311032), we get a palindrome (2301152511032).

The spelling of 2301131200000 in words is "two trillion, three hundred one billion, one hundred thirty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 16000 20000 25000 32000 40000 50000 64000 80000 100000 160000 200000 320000 400000 800000 1438207 1600000 2876414 5752828 7191035 11505656 14382070 23011312 28764140 35955175 46022624 57528280 71910350 92045248 115056560 143820700 179775875 184090496 230113120 287641400 359551750 368180992 460226240 575282800 719103500 736361984 898879375 920452480 1150565600 1438207000 1797758750 1840904960 2301131200 2876414000 3595517500 3681809920 4494396875 4602262400 5752828000 7191035000 8988793750 9204524800 11505656000 14382070000 17977587500 18409049600 23011312000 28764140000 35955175000 46022624000 57528280000 71910350000 92045248000 115056560000 143820700000 230113120000 287641400000 460226240000 575282800000 1150565600000 2301131200000