Search a number
-
+
10234043424300 = 2235264752725623
BaseRepresentation
bin1001010011101100110010…
…0001011101111000101100
31100020100212002020002002110
42110323030201131320230
52320133310104034200
633433242111524020
72104246064543223
oct224731441357054
940210762202073
1010234043424300
113296262791823
121193514529610
135930b2456537
1427548a673cba
1512b326e92b50
hex94ecc85de2c

10234043424300 has 72 divisors (see below), whose sum is σ = 29656265377536. Its totient is φ = 2724860144960.

The previous prime is 10234043424287. The next prime is 10234043424301. The reversal of 10234043424300 is 342434043201.

It is a happy number.

10234043424300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10234043424301) 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, 26168712 + ... + 26556911.

It is an arithmetic number, because the mean of its divisors is an integer number (411892574688).

Almost surely, 210234043424300 is an apocalyptic number.

10234043424300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234043424300 is an abundant number, since it is smaller than the sum of its proper divisors (19422221953236).

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

10234043424300 is a wasteful number, since it uses less digits than its factorization.

10234043424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52726287 (or 52726280 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10234043424300 its reverse (342434043201), we get a palindrome (10576477467501).

The spelling of 10234043424300 in words is "ten trillion, two hundred thirty-four billion, forty-three million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 647 1294 1941 2588 3235 3882 6470 7764 9705 12940 16175 19410 32350 38820 48525 64700 97050 194100 52725623 105451246 158176869 210902492 263628115 316353738 527256230 632707476 790884345 1054512460 1318140575 1581768690 2636281150 3163537380 3954421725 5272562300 7908843450 15817686900 34113478081 68226956162 102340434243 136453912324 170567390405 204680868486 341134780810 409361736972 511702171215 682269561620 852836952025 1023404342430 1705673904050 2046808684860 2558510856075 3411347808100 5117021712150 10234043424300