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42117322221 = 3413535912791
BaseRepresentation
bin100111001110011000…
…110101010111101101
311000201020011122120000
4213032120311113231
51142224013302341
631203132214513
73020464221612
oct471630652755
9130636148500
1042117322221
1116953148617
1281b500a439
133c82926a50
142077886509
1511678218b6
hex9ce6355ed

42117322221 has 80 divisors (see below), whose sum is σ = 70209659520. Its totient is φ = 24996366720.

The previous prime is 42117322217. The next prime is 42117322241. The reversal of 42117322221 is 12222371124.

It is a happy number.

42117322221 is a `hidden beast` number, since 4 + 2 + 117 + 322 + 221 = 666.

It is not a de Polignac number, because 42117322221 - 22 = 42117322217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42117322241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3286336 + ... + 3299126.

It is an arithmetic number, because the mean of its divisors is an integer number (877620744).

Almost surely, 242117322221 is an apocalyptic number.

It is an amenable number.

42117322221 is a deficient number, since it is larger than the sum of its proper divisors (28092337299).

42117322221 is a wasteful number, since it uses less digits than its factorization.

42117322221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928 (or 12919 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

Adding to 42117322221 its reverse (12222371124), we get a palindrome (54339693345).

The spelling of 42117322221 in words is "forty-two billion, one hundred seventeen million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 53 59 81 117 159 177 351 477 531 689 767 1053 1431 1593 2067 2301 3127 4293 4779 6201 6903 9381 12791 18603 20709 28143 38373 40651 55809 62127 84429 115119 121953 166283 253287 345357 365859 498849 677923 754669 1036071 1097577 1496547 2033769 2264007 3292731 4489641 6101307 6792021 8812999 9810697 13468923 18303921 20376063 26438997 29432091 39997457 54911763 61128189 79316991 88296273 119992371 237950973 264888819 359977113 519966941 713852919 794666457 1079931339 1559900823 3239794017 4679702469 14039107407 42117322221