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1020120213 = 37151389827
BaseRepresentation
bin111100110011011…
…100110010010101
32122002112110212010
4330303130302111
54042122321323
6245120414433
734164610260
oct7463346225
92562473763
101020120213
11483916462
12245777419
13133463238
14996a7cd7
155e857c93
hex3ccdcc95

1020120213 has 32 divisors (see below), whose sum is σ = 1570682880. Its totient is φ = 576878400.

The previous prime is 1020120197. The next prime is 1020120247. The reversal of 1020120213 is 3120210201.

It is not a de Polignac number, because 1020120213 - 24 = 1020120197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020120253) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1233106 + ... + 1233932.

It is an arithmetic number, because the mean of its divisors is an integer number (49083840).

Almost surely, 21020120213 is an apocalyptic number.

It is an amenable number.

1020120213 is a deficient number, since it is larger than the sum of its proper divisors (550562667).

1020120213 is a wasteful number, since it uses less digits than its factorization.

1020120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1020120213 is about 31939.3207974121. The cubic root of 1020120213 is about 1006.6622534759.

Adding to 1020120213 its reverse (3120210201), we get a palindrome (4140330414).

The spelling of 1020120213 in words is "one billion, twenty million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 7 21 151 389 453 827 1057 1167 2481 2723 3171 5789 8169 17367 58739 124877 176217 321703 374631 411173 874139 965109 1233519 2251921 2622417 6755763 48577153 145731459 340040071 1020120213