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10352111224 = 2372132307509
BaseRepresentation
bin10011010010000100…
…01010111001111000
3222201110022201220211
421221002022321320
5132200120024344
64431121400504
7514351331200
oct115102127170
928643281824
1010352111224
114432551424
12200aa99134
13c8c932600
14702c1d400
15408c62334
hex26908ae78

10352111224 has 144 divisors (see below), whose sum is σ = 24577522200. Its totient is φ = 4073981184.

The previous prime is 10352111219. The next prime is 10352111227. The reversal of 10352111224 is 42211125301.

It is a junction number, because it is equal to n+sod(n) for n = 10352111195 and 10352111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10352111227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20337882 + ... + 20338390.

Almost surely, 210352111224 is an apocalyptic number.

10352111224 is a gapful number since it is divisible by the number (14) 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 10352111224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288761100).

10352111224 is an abundant number, since it is smaller than the sum of its proper divisors (14225410976).

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

10352111224 is a wasteful number, since it uses less digits than its factorization.

10352111224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10352111224 its reverse (42211125301), we get a palindrome (52563236525).

The spelling of 10352111224 in words is "ten billion, three hundred fifty-two million, one hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 169 182 196 307 338 364 392 509 614 637 676 728 1018 1183 1228 1274 1352 2036 2149 2366 2456 2548 3563 3991 4072 4298 4732 5096 6617 7126 7982 8281 8596 9464 13234 14252 15043 15964 16562 17192 24941 26468 27937 28504 30086 31928 33124 46319 49882 51883 52936 55874 60172 66248 86021 92638 99764 103766 111748 120344 156263 172042 185276 195559 199528 207532 223496 312526 324233 344084 363181 370552 391118 415064 602147 625052 648466 688168 726362 782236 1093841 1204294 1250104 1296932 1452724 1564472 2031419 2187682 2408588 2542267 2593864 2905448 4062838 4215029 4375364 4817176 5084534 7656887 8125676 8430058 8750728 10169068 14219933 15313774 16251352 16860116 20338136 26408447 28439866 30627548 33720232 52816894 56879732 61255096 99539531 105633788 113759464 184859129 199079062 211267576 369718258 398158124 739436516 796316248 1294013903 1478873032 2588027806 5176055612 10352111224