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102340442022 = 237134119922973
BaseRepresentation
bin101111101001111110…
…1110011011110100110
3100210011021121010010120
41133103331303132212
53134043123121042
6115003050502410
710252043255430
oct1372375633646
9323137533116
10102340442022
113a447569905
1217a01734a06
13985c674690
144d4bc19650
1529de948dec
hex17d3f737a6

102340442022 has 128 divisors (see below), whose sum is σ = 259367270400. Its totient is φ = 26199106560.

The previous prime is 102340441939. The next prime is 102340442033. The reversal of 102340442022 is 220244043201.

It is a junction number, because it is equal to n+sod(n) for n = 102340441983 and 102340442001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4443328 + ... + 4466300.

It is an arithmetic number, because the mean of its divisors is an integer number (2026306800).

Almost surely, 2102340442022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102340442022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129683635200).

102340442022 is an abundant number, since it is smaller than the sum of its proper divisors (157026828378).

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

102340442022 is a wasteful number, since it uses less digits than its factorization.

102340442022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102340442022 its reverse (220244043201), we get a palindrome (322584485223).

The spelling of 102340442022 in words is "one hundred two billion, three hundred forty million, four hundred forty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 199 246 273 287 398 533 546 574 597 861 1066 1194 1393 1599 1722 2587 2786 3198 3731 4179 5174 7462 7761 8159 8358 11193 15522 16318 18109 22386 22973 24477 36218 45946 48954 54327 57113 68919 106067 108654 114226 137838 160811 171339 212134 298649 318201 321622 342678 482433 597298 636402 742469 895947 941893 964866 1484938 1791894 1883786 2090543 2227407 2825679 4181086 4454814 4571627 5651358 6271629 6593251 9143254 12244609 12543258 13186502 13714881 19779753 24489218 27429762 32001389 36733827 39559506 59431151 64002778 73467654 85712263 96004167 118862302 171424526 178293453 187436707 192008334 257136789 356586906 374873414 416018057 514273578 562310121 832036114 1124620242 1248054171 1312056949 2436677191 2496108342 2624113898 3936170847 4873354382 7310031573 7872341694 14620063146 17056740337 34113480674 51170221011 102340442022