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1212111001101 = 3711137140114177
BaseRepresentation
bin10001101000110111011…
…100100001011000001101
311021212200002200201012210
4101220313130201120031
5124324400404013401
62324500333221033
7153400145341110
oct21506734413015
94255602621183
101212111001101
11428065073510
12176ab9631779
138a3bc745450
1442948b9c577
15217e30854d6
hex11a3772160d

1212111001101 has 128 divisors (see below), whose sum is σ = 2206138540032. Its totient is φ = 571576320000.

The previous prime is 1212111001067. The next prime is 1212111001147. The reversal of 1212111001101 is 1011001112121.

It is not a de Polignac number, because 1212111001101 - 215 = 1212110968333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212111001151) 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, 85491325 + ... + 85505501.

It is an arithmetic number, because the mean of its divisors is an integer number (17235457344).

Almost surely, 21212111001101 is an apocalyptic number.

1212111001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1212111001101 is a deficient number, since it is larger than the sum of its proper divisors (994027538931).

1212111001101 is a wasteful number, since it uses less digits than its factorization.

1212111001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14683.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1212111001101 its reverse (1011001112121), we get a palindrome (2223112113222).

The spelling of 1212111001101 in words is "one trillion, two hundred twelve billion, one hundred eleven million, one thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 71 77 91 143 213 231 273 401 429 497 781 923 1001 1203 1491 2343 2769 2807 3003 4411 5213 5467 6461 8421 10153 13233 14177 15639 16401 19383 28471 30459 30877 36491 42531 57343 71071 85413 92631 99239 109473 155947 172029 184301 199297 213213 297717 313181 370123 401401 467841 552903 597891 939543 1006567 1091629 1110369 1204203 1290107 2027311 2192267 2590861 3019701 3274887 3870321 4071353 5684977 6081933 6576801 7045969 7772583 11072237 12214059 13085371 14191177 17054931 21137907 28499471 33216711 39256113 39794839 42573531 62534747 73904701 77505659 85498413 91597597 119384517 143939081 187604241 221714103 232516977 274792791 403633367 431817243 437743229 517332907 812951711 1007573567 1210900101 1313229687 1551998721 2438855133 2825433569 3022720701 4439967037 5247233771 5690661977 8476300707 13319901111 15741701313 17071985931 31079769259 36730636397 57719571481 93239307777 110191909191 173158714443 404037000367 1212111001101