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1007210250269 = 137270975689
BaseRepresentation
bin11101010100000100110…
…10001100000000011101
310120021210012210002102022
432222002122030000131
5113000231311002034
62050412255105525
7132524415603566
oct16520232140035
93507705702368
101007210250269
11359178a23713
121432548122a5
1373c97007512
1436a6bc9316d
151b2ee761b2e
hexea8268c01d

1007210250269 has 12 divisors (see below), whose sum is σ = 1016060289300. Its totient is φ = 998434921728.

The previous prime is 1007210250227. The next prime is 1007210250283. The reversal of 1007210250269 is 9620520127001.

It can be written as a sum of positive squares in 6 ways, for example, as 59615082244 + 947595168025 = 244162^2 + 973445^2 .

It is not a de Polignac number, because 1007210250269 - 216 = 1007210184733 is a prime.

It is a super-2 number, since 2×10072102502692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007210250169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13269377 + ... + 13345065.

It is an arithmetic number, because the mean of its divisors is an integer number (84671690775).

Almost surely, 21007210250269 is an apocalyptic number.

It is an amenable number.

1007210250269 is a deficient number, since it is larger than the sum of its proper divisors (8850039031).

1007210250269 is an frugal number, since it uses more digits than its factorization.

1007210250269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76672 (or 76535 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 1007210250269 in words is "one trillion, seven billion, two hundred ten million, two hundred fifty thousand, two hundred sixty-nine".

Divisors: 1 137 709 18769 75689 97133 10369393 13307221 53663501 1420606841 7351899637 1007210250269