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1213797312 = 26347133183
BaseRepresentation
bin100100001011001…
…0001001111000000
310010120222021220000
41020112101033000
54441213003222
6320235520000
742036051450
oct11026211700
93116867800
101213797312
1157317a982
1229a5b9000
13164615580
14b72c1d60
15718639ac
hex485913c0

1213797312 has 560 divisors, whose sum is σ = 4626327552. Its totient is φ = 306063360.

The previous prime is 1213797307. The next prime is 1213797323. The reversal of 1213797312 is 2137973121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 14624023 + ... + 14624105.

Almost surely, 21213797312 is an apocalyptic number.

1213797312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313163776).

1213797312 is an abundant number, since it is smaller than the sum of its proper divisors (3412530240).

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

1213797312 is a wasteful number, since it uses less digits than its factorization.

1213797312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 1213797312 is about 34839.5940274855. The cubic root of 1213797312 is about 1066.7157900988.

The spelling of 1213797312 in words is "one billion, two hundred thirteen million, seven hundred ninety-seven thousand, three hundred twelve".