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3430011012141 = 37583372799833
BaseRepresentation
bin110001111010011100100…
…101101000010000101101
3110010220110100212000122010
4301322130211220100231
5422144130304342031
611143420355511433
7502544604360240
oct61723445502055
913126410760563
103430011012141
11110272888374a
124749138b8579
131bb5aa8ba79c
14bc028b6d257
155e350bde246
hex31e9c96842d

3430011012141 has 16 divisors (see below), whose sum is σ = 5226774908544. Its totient is φ = 1959971994624.

The previous prime is 3430011012059. The next prime is 3430011012149. The reversal of 3430011012141 is 1412101100343.

It is not a de Polignac number, because 3430011012141 - 211 = 3430011010093 is a prime.

It is a super-3 number, since 3×34300110121413 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430011012149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174840 + ... + 2624993.

It is an arithmetic number, because the mean of its divisors is an integer number (326673431784).

Almost surely, 23430011012141 is an apocalyptic number.

It is an amenable number.

3430011012141 is a deficient number, since it is larger than the sum of its proper divisors (1796763896403).

3430011012141 is a wasteful number, since it uses less digits than its factorization.

3430011012141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858180.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 3430011012141 its reverse (1412101100343), we get a palindrome (4842112112484).

The spelling of 3430011012141 in words is "three trillion, four hundred thirty billion, eleven million, twelve thousand, one hundred forty-one".

Divisors: 1 3 7 21 58337 175011 408359 1225077 2799833 8399499 19598831 58796493 163333857721 490001573163 1143337004047 3430011012141