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1023442221102 = 2371923313178151
BaseRepresentation
bin11101110010010011110…
…10001111100000101110
310121211200110002122101020
432321021322033200232
5113232002202033402
62102055102355010
7133640565225660
oct16711172174056
93554613078336
101023442221102
113650484a8644
1214642488ba66
1375682b5caa2
143776b96a530
151b94e7c98bc
hexee49e8f82e

1023442221102 has 128 divisors (see below), whose sum is σ = 2577702666240. Its totient is φ = 264129465600.

The previous prime is 1023442221041. The next prime is 1023442221229. The reversal of 1023442221102 is 2011222443201.

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, 5655727 + ... + 5833877.

It is an arithmetic number, because the mean of its divisors is an integer number (20138302080).

Almost surely, 21023442221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023442221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288851333120).

1023442221102 is an abundant number, since it is smaller than the sum of its proper divisors (1554260445138).

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

1023442221102 is a wasteful number, since it uses less digits than its factorization.

1023442221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178518.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1023442221102 its reverse (2011222443201), we get a palindrome (3034664664303).

The spelling of 1023442221102 in words is "one trillion, twenty-three billion, four hundred forty-two million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 313 322 399 437 483 626 798 874 939 966 1311 1878 2191 2622 3059 4382 5947 6118 6573 7199 9177 11894 13146 14398 17841 18354 21597 35682 41629 43194 50393 83258 100786 124887 136781 151179 178151 249774 273562 302358 356302 410343 534453 820686 957467 1068906 1247057 1914934 2494114 2872401 3384869 3741171 4097473 5744802 6769738 7482342 8194946 10154607 12292419 20309214 23694083 24584838 28682311 47388166 55761263 57364622 71082249 77851987 86046933 111522526 142164498 155703974 167283789 172093866 233555961 334567578 390328841 467111922 544963909 780657682 1059463997 1089927818 1170986523 1282509049 1634891727 2118927994 2341973046 2565018098 3178391991 3269783454 3847527147 6356783982 7416247979 7695054294 8977563343 14832495958 17955126686 22248743937 24367671931 26932690029 44497487874 48735343862 53865380058 73103015793 146206031586 170573703517 341147407034 511721110551 1023442221102