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4201020434541 = 3743158732051
BaseRepresentation
bin111101001000100000010…
…101001010100001101101
3112212121120100002211110110
4331020200111022201231
51022312142212401131
612533531103330233
7612341126340000
oct75104025124155
915777510084413
104201020434541
11137a7085733a7
1257a2292b0979
1324620165ac18
1410748ab6b537
1574428cea646
hex3d22054a86d

4201020434541 has 80 divisors (see below), whose sum is σ = 6757025200128. Its totient is φ = 2319114924000.

The previous prime is 4201020434539. The next prime is 4201020434543. The reversal of 4201020434541 is 1454340201024.

It is an interprime number because it is at equal distance from previous prime (4201020434539) and next prime (4201020434543).

It is not a de Polignac number, because 4201020434541 - 21 = 4201020434539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4201020434499 and 4201020434508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201020434543) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131056966 + ... + 131089016.

Almost surely, 24201020434541 is an apocalyptic number.

It is an amenable number.

4201020434541 is a deficient number, since it is larger than the sum of its proper divisors (2556004765587).

4201020434541 is an equidigital number, since it uses as much as digits as its factorization.

4201020434541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32700 (or 32679 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4201020434541 its reverse (1454340201024), we get a palindrome (5655360635565).

The spelling of 4201020434541 in words is "four trillion, two hundred one billion, twenty million, four hundred thirty-four thousand, five hundred forty-one".

Divisors: 1 3 7 21 31 49 93 147 217 343 587 651 1029 1519 1761 2401 4109 4557 7203 10633 12327 18197 28763 31899 32051 54591 74431 86289 96153 127379 201341 223293 224357 382137 604023 673071 891653 993581 1409387 1570499 2674959 2980743 4228161 4711497 6241571 6955067 10993493 18724713 18813937 20865201 32980479 43690997 48685469 56441811 76954451 131072991 131697559 146056407 230863353 340798283 395092677 583232047 921882913 1022394849 1749696141 2385587981 2765648739 4082624329 6453180391 7156763943 12247872987 19359541173 28578370303 45172262737 85735110909 135516788211 200048592121 600145776363 1400340144847 4201020434541