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1012210211103 = 3721319197141511
BaseRepresentation
bin11101011101011000110…
…11100001100100011111
310120202200200002102020220
432232230123201210133
5113041001303223403
62053000345412423
7133062340556100
oct16565433414437
93522620072226
101012210211103
11360304304253
1214420b19a113
13745b2b51320
1436dc3d443a7
151b4e36ab953
hexebac6e191f

1012210211103 has 96 divisors (see below), whose sum is σ = 1788756963840. Its totient is φ = 503241258240.

The previous prime is 1012210211087. The next prime is 1012210211143. The reversal of 1012210211103 is 3011120122101.

It is not a de Polignac number, because 1012210211103 - 24 = 1012210211087 is a prime.

It is a super-2 number, since 2×10122102111032 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012210211143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7082118 + ... + 7223628.

It is an arithmetic number, because the mean of its divisors is an integer number (18632885040).

Almost surely, 21012210211103 is an apocalyptic number.

1012210211103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1012210211103 is a deficient number, since it is larger than the sum of its proper divisors (776546752737).

1012210211103 is a wasteful number, since it uses less digits than its factorization.

1012210211103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141757 (or 141750 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1012210211103 its reverse (3011120122101), we get a palindrome (4023330333204).

The spelling of 1012210211103 in words is "one trillion, twelve billion, two hundred ten million, two hundred eleven thousand, one hundred three".

Divisors: 1 3 7 13 19 21 39 49 57 91 133 147 197 247 273 399 591 637 741 931 1379 1729 1911 2561 2793 3743 4137 5187 7683 9653 11229 12103 17927 26201 28959 36309 48659 53781 78603 125489 141511 145977 183407 340613 376467 424533 550221 990577 1021839 1839643 2384291 2688709 2971731 5518929 6934039 7152873 8066127 12877501 18820963 20802117 27877667 34953217 38632503 56462889 83633001 90142507 104859651 131746741 195143669 244672519 270427521 362409671 395240223 529675673 585431007 734017557 1087229013 1366005683 1589027019 1712707633 2536867697 3707729711 4098017049 5138122899 6885783749 7610603091 11123189133 17758073879 20657351247 25954107977 48200486243 53274221637 77862323931 144601458729 337403403701 1012210211103