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10234343331210 = 2355338934994729
BaseRepresentation
bin1001010011101101111001…
…1001100001010110001010
31100020101121222112221000210
42110323132121201112022
52320134413343044320
633433331543541550
72104256365654335
oct224733631412612
940211558487023
1010234343331210
1132963a7002279
121193598a5a8b6
1359312c620b4b
142754b842161c
1512b3434840e0
hex94ede66158a

10234343331210 has 128 divisors (see below), whose sum is σ = 25102677600000. Its totient is φ = 2669453309952.

The previous prime is 10234343331193. The next prime is 10234343331217. The reversal of 10234343331210 is 1213334343201.

10234343331210 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 (10234343331217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2164164126 + ... + 2164168854.

It is an arithmetic number, because the mean of its divisors is an integer number (196114668750).

Almost surely, 210234343331210 is an apocalyptic number.

10234343331210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234343331210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551338800000).

10234343331210 is an abundant number, since it is smaller than the sum of its proper divisors (14868334268790).

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

10234343331210 is a wasteful number, since it uses less digits than its factorization.

10234343331210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 10234343331210 its reverse (1213334343201), we get a palindrome (11447677674411).

The spelling of 10234343331210 in words is "ten trillion, two hundred thirty-four billion, three hundred forty-three million, three hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 389 530 778 795 1167 1590 1945 2334 3499 3890 4729 5835 6998 9458 10497 11670 14187 17495 20617 20994 23645 28374 34990 41234 47290 52485 61851 70935 103085 104970 123702 141870 185447 206170 250637 309255 370894 501274 556341 618510 751911 927235 1112682 1253185 1361111 1503822 1839581 1854470 2506370 2722222 2781705 3679162 3759555 4083333 5518743 5563410 6805555 7519110 8166666 9197905 11037486 13611110 16546771 18395810 20416665 27593715 33093542 40833330 49640313 55187430 72138883 82733855 97497793 99280626 144277766 165467710 194995586 216416649 248201565 292493379 360694415 432833298 487488965 496403130 584986758 721388830 876978863 974977930 1082083245 1462466895 1753957726 2164166490 2630936589 2924933790 4384894315 5261873178 6436693919 8769788630 12873387838 13154682945 19310081757 26309365890 32183469595 38620163514 64366939190 96550408785 193100817570 341144777707 682289555414 1023434333121 1705723888535 2046868666242 3411447777070 5117171665605 10234343331210