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10024441230 = 23519193293311
BaseRepresentation
bin10010101011000000…
…01101010110001110
3221212121202101012010
421111200031112032
5131012224104410
64334414322050
7503262226116
oct112540152616
927777671163
1010024441230
114284599081
121b391b9326
13c39a9723b
146b14c6046
153da0d9c20
hex25580d58e

10024441230 has 128 divisors (see below), whose sum is σ = 25625134080. Its totient is φ = 2502696960.

The previous prime is 10024441199. The next prime is 10024441237. The reversal of 10024441230 is 3214442001.

It is a junction number, because it is equal to n+sod(n) for n = 10024441197 and 10024441206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024441237) 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, 32232775 + ... + 32233085.

It is an arithmetic number, because the mean of its divisors is an integer number (200196360).

Almost surely, 210024441230 is an apocalyptic number.

10024441230 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 10024441230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12812567040).

10024441230 is an abundant number, since it is smaller than the sum of its proper divisors (15600692850).

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

10024441230 is a wasteful number, since it uses less digits than its factorization.

10024441230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10024441230 its reverse (3214442001), we get a palindrome (13238883231).

The spelling of 10024441230 in words is "ten billion, twenty-four million, four hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 193 285 293 311 386 570 579 586 622 879 933 965 1158 1465 1555 1758 1866 1930 2895 2930 3110 3667 4395 4665 5567 5790 5909 7334 8790 9330 11001 11134 11818 16701 17727 18335 22002 27835 29545 33402 35454 36670 55005 55670 56549 59090 60023 83505 88635 91123 110010 113098 120046 167010 169647 177270 180069 182246 273369 282745 300115 339294 360138 455615 546738 565490 600230 848235 900345 911230 1074431 1140437 1366845 1696470 1731337 1800690 2148862 2280874 2733690 3223293 3421311 3462674 5194011 5372155 5702185 6446586 6842622 8656685 10388022 10744310 11404370 16116465 17106555 17313370 17586739 25970055 32232930 34213110 35173478 51940110 52760217 87933695 105520434 175867390 263801085 334148041 527602170 668296082 1002444123 1670740205 2004888246 3341480410 5012220615 10024441230