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10103311011021 = 3174161833133049
BaseRepresentation
bin1001001100000101110001…
…0000111000110011001101
31022202212102010010101022220
42103001130100320303031
52311013040104323041
633253221430325553
72061640315425204
oct223013420706315
938685363111286
1010103311011021
113245876744768
12117210a4b98b9
13583979904087
1426d007bd423b
15127c24ba7d66
hex9305c438ccd

10103311011021 has 128 divisors (see below), whose sum is σ = 15082809638400. Its totient is φ = 5988866457600.

The previous prime is 10103311011011. The next prime is 10103311011023. The reversal of 10103311011021 is 12011011330101.

It is not a de Polignac number, because 10103311011021 - 227 = 10103176793293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103311011023) 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 127 ways as a sum of consecutive naturals, for example, 3313645905 + ... + 3313648953.

It is an arithmetic number, because the mean of its divisors is an integer number (117834450300).

Almost surely, 210103311011021 is an apocalyptic number.

It is an amenable number.

10103311011021 is a deficient number, since it is larger than the sum of its proper divisors (4979498627379).

10103311011021 is a wasteful number, since it uses less digits than its factorization.

10103311011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10103311011021 its reverse (12011011330101), we get a palindrome (22114322341122).

The spelling of 10103311011021 in words is "ten trillion, one hundred three billion, three hundred eleven million, eleven thousand, twenty-one".

Divisors: 1 3 17 41 51 61 83 123 183 249 313 697 939 1037 1411 2091 2501 3049 3111 3403 4233 5063 5321 7503 9147 10209 12833 15189 15963 19093 25979 38499 42517 51833 57279 57851 77937 86071 125009 127551 155499 173553 185989 207583 218161 253067 258213 324581 375027 441643 557967 622749 654483 759201 782813 954337 973743 1065139 1324929 1584719 2125153 2348439 2863011 3161813 3195417 3528911 4302139 4754157 6375459 7625549 9485439 10375747 10586733 12906417 13307821 15437087 16223729 18107363 22876647 26940223 31127241 39127817 39923463 46311261 48671187 54322089 58214557 64973479 79209971 80820669 117383451 129634333 174643671 176387699 194920437 237629913 262430479 388902999 529163097 632920567 665172889 787291437 989647469 1104549143 1346569507 1898761701 1995518667 2386796837 2968942407 3247608811 3313647429 4039708521 4831808231 7160390511 9742826433 10759649639 14495424693 32278948917 40575546229 55209349787 82140739927 121726638687 165628049361 198104137471 246422219781 594312412413 3367770337007 10103311011021