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1010502144 = 2932219293
BaseRepresentation
bin111100001110110…
…000101000000000
32121102102211100100
4330032300220000
54032142032034
6244134322400
734020061251
oct7416605000
92542384310
101010502144
11479447243
122424b9400
13131476482
14982c2b28
155daa8099
hex3c3b0a00

1010502144 has 60 divisors (see below), whose sum is σ = 2916390906. Its totient is φ = 336832512.

The previous prime is 1010502131. The next prime is 1010502179. The reversal of 1010502144 is 4412050101.

1010502144 is a `hidden beast` number, since 10 + 10 + 502 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 900000000 + 110502144 = 30000^2 + 10512^2 .

It is a super-2 number, since 2×10105021442 = 2042229166057193472, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105039 + ... + 114254.

Almost surely, 21010502144 is an apocalyptic number.

It is an amenable number.

1010502144 is an abundant number, since it is smaller than the sum of its proper divisors (1905888762).

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

1010502144 is an equidigital number, since it uses as much as digits as its factorization.

1010502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219317 (or 219298 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1010502144 is about 31788.3963735197. The cubic root of 1010502144 is about 1003.4885306688.

Adding to 1010502144 its reverse (4412050101), we get a palindrome (5422552245).

The spelling of 1010502144 in words is "one billion, ten million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 219293 438586 657879 877172 1315758 1754344 1973637 2631516 3508688 3947274 5263032 7017376 7894548 10526064 14034752 15789096 21052128 28069504 31578192 42104256 56139008 63156384 84208512 112278016 126312768 168417024 252625536 336834048 505251072 1010502144