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1020507201 = 33720172677
BaseRepresentation
bin111100110100111…
…011010001000001
32122010021010201000
4330310323101001
54042222212301
6245133002213
734201111440
oct7464732101
92563233630
101020507201
1148406018a
12245923369
1313356a41c
1499768d57
155e8d2786
hex3cd3b441

1020507201 has 32 divisors (see below), whose sum is σ = 1729345280. Its totient is φ = 582640128.

The previous prime is 1020507199. The next prime is 1020507203. The reversal of 1020507201 is 1027050201.

1020507201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1020507199) and next prime (1020507203).

It is not a de Polignac number, because 1020507201 - 21 = 1020507199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020507203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379875 + ... + 382551.

It is an arithmetic number, because the mean of its divisors is an integer number (54042040).

Almost surely, 21020507201 is an apocalyptic number.

It is an amenable number.

1020507201 is a deficient number, since it is larger than the sum of its proper divisors (708838079).

1020507201 is a wasteful number, since it uses less digits than its factorization.

1020507201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1020507201 is about 31945.3783981345. The cubic root of 1020507201 is about 1006.7895316000.

Adding to 1020507201 its reverse (1027050201), we get a palindrome (2047557402).

The spelling of 1020507201 in words is "one billion, twenty million, five hundred seven thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 189 2017 2677 6051 8031 14119 18153 18739 24093 42357 54459 56217 72279 127071 168651 381213 505953 5399509 16198527 37796563 48595581 113389689 145786743 340169067 1020507201