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10520245128 = 23319671492311
BaseRepresentation
bin10011100110000111…
…00011001110001000
31000011011200211021110
421303003203032020
5133021140321003
64455525210320
7521462415411
oct116303431610
930134624243
1010520245128
114509449968
1220572609a0
13cb8710423
1471b2a8808
154188c4a03
hex2730e3388

10520245128 has 128 divisors (see below), whose sum is σ = 28298880000. Its totient is φ = 3249227520.

The previous prime is 10520245121. The next prime is 10520245129. The reversal of 10520245128 is 82154202501.

It is a super-2 number, since 2×105202451282 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10520245095 and 10520245104.

It is not an unprimeable number, because it can be changed into a prime (10520245121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4551093 + ... + 4553403.

It is an arithmetic number, because the mean of its divisors is an integer number (221085000).

Almost surely, 210520245128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10520245128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149440000).

10520245128 is an abundant number, since it is smaller than the sum of its proper divisors (17778634872).

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

10520245128 is a wasteful number, since it uses less digits than its factorization.

10520245128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 10520245128 its reverse (82154202501), we get a palindrome (92674447629).

The spelling of 10520245128 in words is "ten billion, five hundred twenty million, two hundred forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 149 152 201 228 268 298 402 447 456 536 596 804 894 1192 1273 1608 1788 2311 2546 2831 3576 3819 4622 5092 5662 6933 7638 8493 9244 9983 10184 11324 13866 15276 16986 18488 19966 22648 27732 29949 30552 33972 39932 43909 55464 59898 67944 79864 87818 119796 131727 154837 175636 189677 239592 263454 309674 344339 351272 379354 464511 526908 569031 619348 688678 758708 929022 1033017 1053816 1138062 1238696 1377356 1517416 1858044 2066034 2276124 2754712 2941903 3716088 4132068 4552248 5883806 6542441 8264136 8825709 11767612 13084882 17651418 19627323 23070713 23535224 26169764 35302836 39254646 46141426 52339528 69212139 70605672 78509292 92282852 138424278 157018584 184565704 276848556 438343547 553697112 876687094 1315030641 1753374188 2630061282 3506748376 5260122564 10520245128