Search a number
-
+
122273660300001 = 3724159359957823
BaseRepresentation
bin11011110011010100001110…
…000101100110101011100001
3121000221020200121202111221020
4123303110032011212223201
5112011312424014100001
61112015424415520053
734516660200644400
oct3363241605465341
9530836617674836
10122273660300001
1135a61a71631891
1211869555529029
13532c48385b332
14222a1107c1637
15e209426db736
hex6f350e166ae1

122273660300001 has 96 divisors (see below), whose sum is σ = 198117848678400. Its totient is φ = 66824405786880.

The previous prime is 122273660299979. The next prime is 122273660300063. The reversal of 122273660300001 is 100003066372221.

It is not a de Polignac number, because 122273660300001 - 214 = 122273660283617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122273660300801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127178976 + ... + 128136798.

It is an arithmetic number, because the mean of its divisors is an integer number (2063727590400).

Almost surely, 2122273660300001 is an apocalyptic number.

It is an amenable number.

122273660300001 is a deficient number, since it is larger than the sum of its proper divisors (75844188378399).

122273660300001 is a wasteful number, since it uses less digits than its factorization.

122273660300001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958299 (or 958292 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 122273660300001 in words is "one hundred twenty-two trillion, two hundred seventy-three billion, six hundred sixty million, three hundred thousand, one".

Divisors: 1 3 7 21 41 49 59 123 147 177 287 359 413 861 1077 1239 2009 2419 2513 2891 6027 7257 7539 8673 14719 16933 17591 21181 44157 50799 52773 63543 103033 118531 148267 309099 355593 444801 721231 868421 957823 1037869 2163693 2605263 2873469 3113607 6078947 6704761 18236841 20114283 39270743 42552629 46933327 56511557 117812229 127657887 140799981 169534671 274895201 343858457 395580899 824685603 1031575371 1186742697 1924266407 2316973837 2407009199 2769066293 5772799221 6950921511 7221027597 8307198879 14098196737 16218816859 16849064393 20287648963 42294590211 48656450577 50547193179 60862946889 98687377159 113531718013 142013542741 296062131477 340595154039 426040628223 690811640113 831793607483 994094799187 2072434920339 2495380822449 2982284397561 5822555252381 17467665757143 40757886766667 122273660300001