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10100132200011 = 37210116723317483
BaseRepresentation
bin1001001011111001111011…
…0010101011111001001011
31022202120012120122001101210
42102332132302223321023
52310440032320400021
633251534153344203
72061465456115500
oct222763662537113
938676176561353
1010100132200011
113244495353a27
121171581a08063
13583591173c09
1426cbc59634a7
15127adaa92e76
hex92f9ecabe4b

10100132200011 has 96 divisors (see below), whose sum is σ = 15984569922048. Its totient is φ = 5655440985600.

The previous prime is 10100132199943. The next prime is 10100132200057. The reversal of 10100132200011 is 11000223100101.

It is not a de Polignac number, because 10100132200011 - 210 = 10100132198987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100132200011.

It is not an unprimeable number, because it can be changed into a prime (10100132200211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577702876 + ... + 577720358.

It is an arithmetic number, because the mean of its divisors is an integer number (166505936688).

Almost surely, 210100132200011 is an apocalyptic number.

10100132200011 is a deficient number, since it is larger than the sum of its proper divisors (5884437722037).

10100132200011 is a wasteful number, since it uses less digits than its factorization.

10100132200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18001 (or 17994 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10100132200011 its reverse (11000223100101), we get a palindrome (21100355300112).

The spelling of 10100132200011 in words is "ten trillion, one hundred billion, one hundred thirty-two million, two hundred thousand, eleven".

Divisors: 1 3 7 21 49 101 147 167 233 303 501 699 707 1169 1631 2121 3507 4893 4949 8183 11417 14847 16867 17483 23533 24549 34251 38911 50601 52449 70599 116733 118069 122381 164731 272377 354207 367143 494193 817131 826483 856667 1153117 1765783 1906639 2479449 2570001 2919661 3459351 3930011 4073539 5297349 5719917 8758983 11790033 12220617 12360481 20437627 27510077 28514773 37081443 61312881 82530231 85544319 86523367 143063389 192570539 199603411 259570101 294885761 411427439 429190167 577711617 598810233 680281013 884657283 1234282317 2040843039 2064200327 2879992073 4761967091 6192600981 8639976219 14285901273 14449402289 20159944511 33333769637 43348206867 60479833533 68708382313 100001308911 206125146939 480958676191 1442876028573 3366710733337 10100132200011