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241031002120000 = 26546577916189
BaseRepresentation
bin110110110011011101100111…
…010000101101111101000000
31011121102100010221221100221121
4312303131213100231331000
5223043022443020320000
62212344040323202024
7101524625632660021
oct6663354720557500
91147370127840847
10241031002120000
116a888746038994
122304950ab16314
13a4651839b7381
144373d69ad0c48
151cceb820eab1a
hexdb376742df40

241031002120000 has 140 divisors (see below), whose sum is σ = 597770076672340. Its totient is φ = 96397636608000.

The previous prime is 241031002119991. The next prime is 241031002120049. The reversal of 241031002120000 is 21200130142.

It can be written as a sum of positive squares in 10 ways, for example, as 46678628894976 + 194352373225024 = 6832176^2 + 13941032^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 262621906 + ... + 263538094.

Almost surely, 2241031002120000 is an apocalyptic number.

241031002120000 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 241031002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298885038336170).

241031002120000 is an abundant number, since it is smaller than the sum of its proper divisors (356739074552340).

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

241031002120000 is an frugal number, since it uses more digits than its factorization.

241031002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922798 (or 922773 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 241031002120000 its reverse (21200130142), we get a palindrome (241052202250142).

The spelling of 241031002120000 in words is "two hundred forty-one trillion, thirty-one billion, two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 6577 8000 10000 13154 20000 26308 32885 40000 52616 65770 105232 131540 164425 210464 263080 328850 420928 526160 657700 822125 916189 1052320 1315400 1644250 1832378 2104640 2630800 3288500 3664756 4110625 4580945 5261600 6577000 7329512 8221250 9161890 10523200 13154000 14659024 16442500 18323780 22904725 26308000 29318048 32885000 36647560 45809450 52616000 58636096 65770000 73295120 91618900 114523625 131540000 146590240 183237800 229047250 263080000 293180480 366475600 458094500 572618125 732951200 916189000 1145236250 1465902400 1832378000 2290472500 3664756000 4580945000 6025775053 7329512000 9161890000 12051550106 18323780000 24103100212 30128875265 36647560000 48206200424 60257750530 96412400848 120515501060 150644376325 192824801696 241031002120 301288752650 385649603392 482062004240 602577505300 753221881625 964124008480 1205155010600 1506443763250 1928248016960 2410310021200 3012887526500 3766109408125 4820620042400 6025775053000 7532218816250 9641240084800 12051550106000 15064437632500 24103100212000 30128875265000 48206200424000 60257750530000 120515501060000 241031002120000