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10121424144 = 2431367242093
BaseRepresentation
bin10010110110100100…
…01010110100010000
3222010101020121201220
421123102022310100
5131212041033034
64352201125040
7505550454126
oct113322126420
928111217656
1010121424144
114324309847
121b65789780
13c53bc2690
146c032d916
153e3895749
hex25b48ad10

10121424144 has 80 divisors (see below), whose sum is σ = 28578712512. Its totient is φ = 3067789824.

The previous prime is 10121424121. The next prime is 10121424199. The reversal of 10121424144 is 44142412101.

It is a super-2 number, since 2×101214241442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79239 + ... + 162854.

Almost surely, 210121424144 is an apocalyptic number.

It is an amenable number.

10121424144 is an abundant number, since it is smaller than the sum of its proper divisors (18457288368).

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

10121424144 is a wasteful number, since it uses less digits than its factorization.

10121424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242184 (or 242178 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10121424144 its reverse (44142412101), we get a palindrome (54263836245).

The spelling of 10121424144 in words is "ten billion, one hundred twenty-one million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1608 1742 2613 3216 3484 5226 6968 10452 13936 20904 41808 242093 484186 726279 968372 1452558 1936744 2905116 3147209 3873488 5810232 6294418 9441627 11620464 12588836 16220231 18883254 25177672 32440462 37766508 48660693 50355344 64880924 75533016 97321386 129761848 151066032 194642772 210863003 259523696 389285544 421726006 632589009 778571088 843452012 1265178018 1686904024 2530356036 3373808048 5060712072 10121424144