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102270886844 = 22721819912909
BaseRepresentation
bin101111100111111010…
…0011110001110111100
3100202222102201100100212
41133033310132032330
53133422321334334
6114552124011552
710250240123600
oct1371764361674
9322872640325
10102270886844
113a411281a95
12179a2390bb8
13984b130479
144d428b1500
1529d87a9ece
hex17cfd1e3bc

102270886844 has 72 divisors (see below), whose sum is σ = 209627832960. Its totient is φ = 43529270400.

The previous prime is 102270886843. The next prime is 102270886871. The reversal of 102270886844 is 448688072201.

It is a junction number, because it is equal to n+sod(n) for n = 102270886792 and 102270886801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102270886841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35155262 + ... + 35158170.

It is an arithmetic number, because the mean of its divisors is an integer number (2911497680).

Almost surely, 2102270886844 is an apocalyptic number.

102270886844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102270886844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104813916480).

102270886844 is an abundant number, since it is smaller than the sum of its proper divisors (107356946116).

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

102270886844 is a wasteful number, since it uses less digits than its factorization.

102270886844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 50.

The spelling of 102270886844 in words is "one hundred two billion, two hundred seventy million, eight hundred eighty-six thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 724 991 1267 1982 2534 2909 3964 5068 5818 6937 8869 11636 13874 17738 20363 27748 35476 40726 48559 81452 97118 142541 179371 194236 285082 358742 526529 570164 717484 1053058 1255597 2106116 2511194 2882819 3685703 5022388 5765638 7371406 8789179 11531276 14742812 17578358 20179733 25799921 35156716 40359466 51599842 80718932 103199684 141258131 282516262 521790239 565032524 1043580478 2087160956 3652531673 7305063346 14610126692 25567721711 51135443422 102270886844