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1214310000 = 24354172381
BaseRepresentation
bin100100001100000…
…1110011001110000
310010121221100011110
41020120032121300
54441330410000
6320254513320
742043315251
oct11030163160
93117840143
101214310000
115734a0092
1229a805840
13164764a37
14b73b6b28
1571915850
hex4860e670

1214310000 has 200 divisors, whose sum is σ = 4152283344. Its totient is φ = 304640000.

The previous prime is 1214309989. The next prime is 1214310043. The reversal of 1214310000 is 134121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×12143100002 = 2949097552200000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 508810 + ... + 511190.

Almost surely, 21214310000 is an apocalyptic number.

1214310000 is a gapful number since it is divisible by the number (10) 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 1214310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076141672).

1214310000 is an abundant number, since it is smaller than the sum of its proper divisors (2937973344).

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

1214310000 is a wasteful number, since it uses less digits than its factorization.

1214310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2408 counting only the distinct ones).

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

The square root of 1214310000 is about 34846.9510861424. The cubic root of 1214310000 is about 1066.8659566871.

Adding to 1214310000 its reverse (134121), we get a palindrome (1214444121).

The spelling of 1214310000 in words is "one billion, two hundred fourteen million, three hundred ten thousand".