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4311434442100 = 225243114344421
BaseRepresentation
bin111110101111010101100…
…001001011010101110100
3120021011120021112120102211
4332233111201023111310
51031114304204121400
613100351242543204
7623330236042402
oct76572541132564
916234507476384
104311434442100
111412518386515
12597702807b04
132537498620c6
1410c962d20472
157723c421dba
hex3ebd584b574

4311434442100 has 18 divisors (see below), whose sum is σ = 9355812739574. Its totient is φ = 1724573776800.

The previous prime is 4311434442079. The next prime is 4311434442103. The reversal of 4311434442100 is 12444341134.

It can be written as a sum of positive squares in 3 ways, for example, as 40541017104 + 4270893424996 = 201348^2 + 2066614^2 .

It is a super-2 number, since 2×43114344421002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4311434442103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21557172111 + ... + 21557172310.

Almost surely, 24311434442100 is an apocalyptic number.

It is an amenable number.

4311434442100 is an abundant number, since it is smaller than the sum of its proper divisors (5044378297474).

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

4311434442100 is a wasteful number, since it uses less digits than its factorization.

4311434442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43114344435 (or 43114344428 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 4311434442100 its reverse (12444341134), we get a palindrome (4323878783234).

The spelling of 4311434442100 in words is "four trillion, three hundred eleven billion, four hundred thirty-four million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 43114344421 86228688842 172457377684 215571722105 431143444210 862286888420 1077858610525 2155717221050 4311434442100