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192098124100 = 225241210692
BaseRepresentation
bin1011001011100111110…
…0001100000101000100
3200100211122111210120001
42302321330030011010
511121404104432400
6224125413251044
716610241053641
oct2627174140504
9610748453501
10192098124100
1174517423953
1231291333a84
1315165213a6c
14942487adc8
154ee48aca6a
hex2cb9f0c144

192098124100 has 81 divisors (see below), whose sum is σ = 427668116421. Its totient is φ = 74894995200.

The previous prime is 192098123941. The next prime is 192098124139. The reversal of 192098124100 is 1421890291.

The square root of 192098124100 is 438290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 191674093636 + 424030464 = 437806^2 + 20592^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 192098124100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179698366 + ... + 179699434.

Almost surely, 2192098124100 is an apocalyptic number.

192098124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

192098124100 is the 438290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192098124100

192098124100 is an abundant number, since it is smaller than the sum of its proper divisors (235569992321).

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

192098124100 is an equidigital number, since it uses as much as digits as its factorization.

192098124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 192098124100 in words is "one hundred ninety-two billion, ninety-eight million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1069 1681 2050 2138 3362 4100 4276 5345 6724 8405 10690 16810 21380 26725 33620 42025 43829 53450 84050 87658 106900 168100 175316 219145 438290 876580 1095725 1142761 1796989 2191450 2285522 3593978 4382900 4571044 5713805 7187956 8984945 11427610 17969890 22855220 28569025 35939780 44924725 46853201 57138050 89849450 93706402 114276100 179698900 187412804 234266005 468532010 937064020 1171330025 1920981241 2342660050 3841962482 4685320100 7683924964 9604906205 19209812410 38419624820 48024531025 96049062050 192098124100