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11311331000211 = 3411291103396883
BaseRepresentation
bin1010010010011001111111…
…0111011011111110010011
31111001100112002212011020000
42210212133313123332103
52440311101214001321
640020204223221043
72245134220054014
oct244463767337623
944040462764200
1011311331000211
1136711215113a0
121328265a47783
136408669103c8
142b168550b00b
151493789db826
hexa499fddbf93

11311331000211 has 80 divisors (see below), whose sum is σ = 19086246812160. Its totient is φ = 6612943135680.

The previous prime is 11311331000197. The next prime is 11311331000227. The reversal of 11311331000211 is 11200013311311.

11311331000211 is a `hidden beast` number, since 1 + 1 + 311 + 331 + 0 + 0 + 0 + 21 + 1 = 666.

It is not a de Polignac number, because 11311331000211 - 27 = 11311331000083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11311331000251) 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, 28301976 + ... + 28698858.

It is an arithmetic number, because the mean of its divisors is an integer number (238578085152).

Almost surely, 211311331000211 is an apocalyptic number.

11311331000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11311331000211 is a deficient number, since it is larger than the sum of its proper divisors (7774915811949).

11311331000211 is a wasteful number, since it uses less digits than its factorization.

11311331000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398038 (or 398029 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11311331000211 its reverse (11200013311311), we get a palindrome (22511344311522).

The spelling of 11311331000211 in words is "eleven trillion, three hundred eleven billion, three hundred thirty-one million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 783 891 957 1103 2349 2871 3309 8613 9927 12133 25839 29781 31987 36399 89343 95961 109197 287883 327591 351857 396883 863649 982773 1055571 1190649 2590947 3166713 3571947 4365713 9500139 10715841 11509607 13097139 28500417 32147523 34528821 39291417 103586463 117874251 126605677 310759389 353622753 379817031 437761949 932278167 1139451093 1313285847 3418353279 3939857541 4815381439 10255059837 11819572623 12695096521 14446144317 35458717869 38085289563 43338432951 114255868689 130015298853 139646061731 342767606067 390045896559 418938185193 1028302818201 1256814555579 3770443666737 11311331000211