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1213312210011 = 3211192591095279
BaseRepresentation
bin10001101001111111000…
…010110001010001011011
311021222202210222110001200
4101221333002301101123
5124334330411210021
62325215443245243
7153442002422646
oct21517702612133
94258683873050
101213312210011
11428621125550
12177193979823
138a551570c55
1442a20524a5d
152186375e126
hex11a7f0b145b

1213312210011 has 144 divisors (see below), whose sum is σ = 2071225728000. Its totient is φ = 678419763840.

The previous prime is 1213312209961. The next prime is 1213312210069. The reversal of 1213312210011 is 1100122133121.

1213312210011 is a `hidden beast` number, since 121 + 331 + 2 + 210 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 1213312210011 - 215 = 1213312177243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1213312210091) 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, 229834870 + ... + 229840148.

It is an arithmetic number, because the mean of its divisors is an integer number (14383512000).

Almost surely, 21213312210011 is an apocalyptic number.

1213312210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1213312210011 is a deficient number, since it is larger than the sum of its proper divisors (857913517989).

1213312210011 is a wasteful number, since it uses less digits than its factorization.

1213312210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1213312210011 its reverse (1100122133121), we get a palindrome (2313434343132).

The spelling of 1213312210011 in words is "one trillion, two hundred thirteen billion, three hundred twelve million, two hundred ten thousand, eleven".

Divisors: 1 3 9 11 19 33 57 59 99 109 171 177 209 327 361 531 627 649 981 1083 1121 1199 1881 1947 2071 3249 3363 3597 3971 5279 5841 6213 6431 10089 10791 11913 12331 15837 18639 19293 21299 22781 35739 36993 39349 47511 57879 58069 63897 68343 70741 100301 110979 118047 122189 174207 191691 205029 212223 234289 300903 311461 354141 366567 432839 522621 575411 636669 702867 902709 934383 1099701 1103311 1298517 1344079 1726233 1905719 2108601 2321591 2803149 3309933 3426071 3895551 4032237 5178699 5717157 5917759 6329521 6964773 9929799 10278213 10932809 12096711 17151471 17753277 18988563 20894319 20962909 25537501 30834639 32798427 33949249 53259831 56965689 62888727 65095349 76612503 98395281 101847747 112437421 120260899 188666181 195286047 207723371 229837509 305543241 337312263 360782697 373441739 585858141 623170113 645035731 1011936789 1082348091 1120325217 1236811631 1869510339 1935107193 2284957081 3360975651 3710434893 5805321579 6854871243 7095393041 11131304679 12255678889 20564613729 21286179123 36767036667 63858537369 110301110001 134812467779 404437403337 1213312210011