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20241011263137 = 3721762141130343
BaseRepresentation
bin1001001101000101110100…
…10010010100011010100001
32122200000120212200012212220
410212202322102110122201
510123112042340410022
6111014331525541253
74156236061660500
oct446427222243241
978600525605786
1020241011263137
1164a418a1a3235
12232aa15874829
13b3a947037102
144dd954d4a837
152517ad99a85c
hex1268ba4946a1

20241011263137 has 48 divisors (see below), whose sum is σ = 33241730424192. Its totient is φ = 10885663326720.

The previous prime is 20241011263021. The next prime is 20241011263141. The reversal of 20241011263137 is 73136211014202.

It is not a de Polignac number, because 20241011263137 - 210 = 20241011262113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20241011263098 and 20241011263107.

It is not an unprimeable number, because it can be changed into a prime (20241011273137) 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 47 ways as a sum of consecutive naturals, for example, 155225188 + ... + 155355530.

It is an arithmetic number, because the mean of its divisors is an integer number (692536050504).

Almost surely, 220241011263137 is an apocalyptic number.

It is an amenable number.

20241011263137 is a deficient number, since it is larger than the sum of its proper divisors (13000719161055).

20241011263137 is a wasteful number, since it uses less digits than its factorization.

20241011263137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192518 (or 192511 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 20241011263137 its reverse (73136211014202), we get a palindrome (93377222277339).

The spelling of 20241011263137 in words is "twenty trillion, two hundred forty-one billion, eleven million, two hundred sixty-three thousand, one hundred thirty-seven".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 2499 62141 130343 186423 391029 434987 912401 1056397 1304961 2215831 2737203 3044909 3169191 6386807 6647493 7394779 9134727 15510817 19160421 22184337 46532451 51763453 108575719 155290359 325727157 8099644363 24298933089 56697510541 137693954171 170092531623 396882573787 413081862513 963857679197 1190647721361 2891573037591 6747003754379 20241011263137