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2134420401 = 32331232189
BaseRepresentation
bin111111100111000…
…1010101110110001
312111202021210100110
41333032022232301
513332402423101
6551444011533
7103615163001
oct17716125661
95452253313
102134420401
119a5908703
124b6990ba9
1328027cb69
1416368a001
15c75b5cd6
hex7f38abb1

2134420401 has 24 divisors (see below), whose sum is σ = 3068608320. Its totient is φ = 1317132960.

The previous prime is 2134420373. The next prime is 2134420411. The reversal of 2134420401 is 1040244312.

It is a de Polignac number, because none of the positive numbers 2k-2134420401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2134420411) 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 23 ways as a sum of consecutive naturals, for example, 50215 + ... + 82403.

It is an arithmetic number, because the mean of its divisors is an integer number (127858680).

Almost surely, 22134420401 is an apocalyptic number.

It is an amenable number.

2134420401 is a deficient number, since it is larger than the sum of its proper divisors (934187919).

2134420401 is a wasteful number, since it uses less digits than its factorization.

2134420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32277 (or 32246 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2134420401 is about 46199.7878891235. The cubic root of 2134420401 is about 1287.5377990725.

Adding to 2134420401 its reverse (1040244312), we get a palindrome (3174664713).

The spelling of 2134420401 in words is "two billion, one hundred thirty-four million, four hundred twenty thousand, four hundred one".

Divisors: 1 3 23 31 69 93 713 961 2139 2883 22103 32189 66309 96567 740347 997859 2221041 2993577 22950757 30933629 68852271 92800887 711473467 2134420401