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1010423012525 = 52197734927917
BaseRepresentation
bin11101011010000011110…
…01111001110010101101
310120121002010011022200222
432231001321321302231
5113023321242400100
62052103143501125
7133000136616443
oct16550171716255
93517063138628
101010423012525
1135a5774a3533
121439b07577a5
13743897c3c84
1436c94840b93
151b43b831485
hexeb41e79cad

1010423012525 has 24 divisors (see below), whose sum is σ = 1259501027400. Its totient is φ = 804096930560.

The previous prime is 1010423012509. The next prime is 1010423012531. The reversal of 1010423012525 is 5252103240101.

It can be written as a sum of positive squares in 12 ways, for example, as 26384804356 + 984038208169 = 162434^2 + 991987^2 .

It is not a de Polignac number, because 1010423012525 - 24 = 1010423012509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010423012494 and 1010423012503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36179867 + ... + 36207783.

It is an arithmetic number, because the mean of its divisors is an integer number (52479209475).

Almost surely, 21010423012525 is an apocalyptic number.

It is an amenable number.

1010423012525 is a deficient number, since it is larger than the sum of its proper divisors (249078014875).

1010423012525 is a wasteful number, since it uses less digits than its factorization.

1010423012525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35473 (or 35468 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 1010423012525 its reverse (5252103240101), we get a palindrome (6262526252626).

The spelling of 1010423012525 in words is "one trillion, ten billion, four hundred twenty-three million, twelve thousand, five hundred twenty-five".

Divisors: 1 5 25 197 985 4925 7349 27917 36745 139585 183725 697925 1447753 5499649 7238765 27498245 36193825 137491225 205162033 1025810165 5129050825 40416920501 202084602505 1010423012525