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10105022520 = 2332535417927
BaseRepresentation
bin10010110100100111…
…00110100000111000
3222002020101022221100
421122103212200320
5131143341210040
64350413411400
7505261163025
oct113223464070
928066338840
1010105022520
114316026a8a
121b60199b60
13c5069c088
146bc0a054c
153e2205b30
hex25a4e6838

10105022520 has 96 divisors (see below), whose sum is σ = 32854741920. Its totient is φ = 2693571840.

The previous prime is 10105022519. The next prime is 10105022569. The reversal of 10105022520 is 2522050101.

It is a super-2 number, since 2×101050225202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10105022493 and 10105022502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270797 + ... + 1278723.

It is an arithmetic number, because the mean of its divisors is an integer number (342236895).

Almost surely, 210105022520 is an apocalyptic number.

10105022520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105022520 is an abundant number, since it is smaller than the sum of its proper divisors (22749719400).

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

10105022520 is a wasteful number, since it uses less digits than its factorization.

10105022520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10105022520 its reverse (2522050101), we get a palindrome (12627072621).

The spelling of 10105022520 in words is "ten billion, one hundred five million, twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3541 7082 7927 10623 14164 15854 17705 21246 23781 28328 31708 31869 35410 39635 42492 47562 53115 63416 63738 70820 71343 79270 84984 95124 106230 118905 127476 141640 142686 158540 159345 190248 212460 237810 254952 285372 317080 318690 356715 424920 475620 570744 637380 713430 951240 1274760 1426860 2853720 28069507 56139014 84208521 112278028 140347535 168417042 224556056 252625563 280695070 336834084 421042605 505251126 561390140 673668168 842085210 1010502252 1122780280 1263127815 1684170420 2021004504 2526255630 3368340840 5052511260 10105022520