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1201323000 = 23353400441
BaseRepresentation
bin100011110011010…
…1011101111111000
310002201111112100110
41013212223233320
54430014314000
6315112304320
741525035263
oct10746535770
93081445313
101201323000
1156712a829
122963a20a0
13161b68717
14b5795cda
15706ec850
hex479abbf8

1201323000 has 64 divisors (see below), whose sum is σ = 3748137120. Its totient is φ = 320352000.

The previous prime is 1201322957. The next prime is 1201323007. The reversal of 1201323000 is 3231021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201323007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197221 + ... + 203220.

Almost surely, 21201323000 is an apocalyptic number.

1201323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201323000 is an abundant number, since it is smaller than the sum of its proper divisors (2546814120).

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

1201323000 is a wasteful number, since it uses less digits than its factorization.

1201323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400465 (or 400451 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1201323000 is about 34660.1067511339. The cubic root of 1201323000 is about 1063.0489527759.

Adding to 1201323000 its reverse (3231021), we get a palindrome (1204554021).

It can be divided in two parts, 120 and 1323000, that multiplied together give a square (158760000 = 126002).

The spelling of 1201323000 in words is "one billion, two hundred one million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 400441 800882 1201323 1601764 2002205 2402646 3203528 4004410 4805292 6006615 8008820 9610584 10011025 12013230 16017640 20022050 24026460 30033075 40044100 48052920 50055125 60066150 80088200 100110250 120132300 150165375 200220500 240264600 300330750 400441000 600661500 1201323000