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13214323541133 = 32111322415635821
BaseRepresentation
bin1100000001001011001100…
…0011111000010010001101
31201210021110221001111100100
43000102303003320102031
53213000413311304013
644034324301521313
72532463153551501
oct300226303702215
951707427044310
1013214323541133
1142351881623a0
121595036273239
1374b14a637400
14339810560301
1517db0534d473
hexc04b30f848d

13214323541133 has 144 divisors (see below), whose sum is σ = 22685186766528. Its totient is φ = 7347614976000.

The previous prime is 13214323541117. The next prime is 13214323541149. The reversal of 13214323541133 is 33114532341231.

13214323541133 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 3 + 235 + 411 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (13214323541117) and next prime (13214323541149).

It is not a de Polignac number, because 13214323541133 - 24 = 13214323541117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214323548133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2270109363 + ... + 2270115183.

It is an arithmetic number, because the mean of its divisors is an integer number (157536019212).

Almost surely, 213214323541133 is an apocalyptic number.

13214323541133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13214323541133 is a deficient number, since it is larger than the sum of its proper divisors (9470863225395).

13214323541133 is a wasteful number, since it uses less digits than its factorization.

13214323541133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668 (or 6652 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 13214323541133 its reverse (33114532341231), we get a palindrome (46328855882364).

The spelling of 13214323541133 in words is "thirteen trillion, two hundred fourteen billion, three hundred twenty-three million, five hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 241 429 507 563 723 1287 1521 1689 1859 2169 2651 3133 5067 5577 5821 6193 7319 7953 9399 16731 17463 18579 21957 23859 28197 34463 40729 52389 55737 64031 65871 75673 80509 95147 103389 122187 135683 192093 227019 241527 285441 310167 366561 407049 448019 576279 681057 724581 832403 856323 983749 1046617 1221147 1344057 1402861 1492513 1763879 2497209 2951247 3139851 3277223 4032171 4208583 4477539 5291637 7491627 8853741 9419553 9831669 10821239 12625749 13432617 15431471 15874911 18237193 19402669 22930427 29495007 32463717 36049453 42603899 46294413 54711579 58208007 68791281 97391151 108148359 127811697 138883239 164134737 174624021 200609123 206373843 237083509 252234697 324445077 383435091 468642889 553850687 601827369 711250527 756704091 789810743 1405928667 1661552061 1805482107 2133751581 2270112273 2369432229 2607918599 4217786001 4984656183 6092357557 7108296687 7823755797 8687918173 10267539659 18277072671 23471267391 26063754519 30802618977 54831218013 78191263557 92407856931 112942936249 133478015567 338828808747 400434046701 1016486426241 1201302140103 1468258171237 4404774513711 13214323541133