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2217012404145 = 357311129730203
BaseRepresentation
bin100000010000110000001…
…111001001111110110001
321211221111101222012122220
4200100300033021332301
5242310420133413040
64414251553551253
7316113430335000
oct40206017117661
97757441865586
102217012404145
11785258783020
122b9808b75529
131310a92ca876
147943815cc37
153ca09c792d0
hex204303c9fb1

2217012404145 has 128 divisors (see below), whose sum is σ = 4516392038400. Its totient is φ = 920614947840.

The previous prime is 2217012404099. The next prime is 2217012404147. The reversal of 2217012404145 is 5414042107122.

It is not a de Polignac number, because 2217012404145 - 28 = 2217012403889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2217012404147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73388614 + ... + 73418816.

It is an arithmetic number, because the mean of its divisors is an integer number (35284312800).

Almost surely, 22217012404145 is an apocalyptic number.

It is an amenable number.

2217012404145 is an abundant number, since it is smaller than the sum of its proper divisors (2299379634255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2217012404145 is a wasteful number, since it uses less digits than its factorization.

2217012404145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31540 (or 31526 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 2217012404145 in words is "two trillion, two hundred seventeen billion, twelve million, four hundred four thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 343 385 539 735 1029 1155 1297 1617 1715 2695 3773 3891 5145 6485 8085 9079 11319 14267 18865 19455 27237 30203 42801 45395 56595 63553 71335 90609 99869 136185 151015 190659 211421 214005 299607 317765 332233 444871 453045 499345 634263 699083 953295 996699 1057105 1334613 1479947 1498035 1661165 2097249 2224355 2325631 3171315 3495415 4439841 4893581 4983495 6673065 6976893 7399735 10359629 10486245 11628155 14680743 16279417 22199205 24467905 31078887 34884465 39173291 48838251 51798145 73403715 81397085 113955919 117519873 155394435 195866455 244191255 274213037 341867757 430906201 569779595 587599365 822639111 1292718603 1371065185 1709338785 1919491259 2154531005 3016343407 4113195555 5758473777 6463593015 9049030221 9597456295 13436438813 15081717035 21114403849 28792368885 40309316439 45245151105 63343211547 67182194065 105572019245 147800826943 201546582195 316716057735 443402480829 739004134715 2217012404145