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4201252144221 = 311285667135101
BaseRepresentation
bin111101001000101110001…
…001000100010001011101
3112212122011111002220101110
4331020232021010101131
51022313131022103341
612534010101532233
7612346642003266
oct75105611042135
915778144086343
104201252144221
11137a817344300
1257a292a14079
1324623a668442
141074ad84596d
157443e31a216
hex3d22e24445d

4201252144221 has 24 divisors (see below), whose sum is σ = 6157324448352. Its totient is φ = 2546164852000.

The previous prime is 4201252144211. The next prime is 4201252144249. The reversal of 4201252144221 is 1224412521024.

It is not a de Polignac number, because 4201252144221 - 217 = 4201252013149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201252144211) 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, 31029571 + ... + 31164671.

It is an arithmetic number, because the mean of its divisors is an integer number (256555185348).

Almost surely, 24201252144221 is an apocalyptic number.

It is an amenable number.

4201252144221 is a deficient number, since it is larger than the sum of its proper divisors (1956072304131).

4201252144221 is a wasteful number, since it uses less digits than its factorization.

4201252144221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220793 (or 220782 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 4201252144221 its reverse (1224412521024), we get a palindrome (5425664665245).

The spelling of 4201252144221 in words is "four trillion, two hundred one billion, two hundred fifty-two million, one hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 11 33 121 363 85667 135101 257001 405303 942337 1486111 2827011 4458333 10365707 16347221 31097121 49041663 11573697367 34721092101 127310671037 381932013111 1400417381407 4201252144221