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102262227564 = 22372373466261
BaseRepresentation
bin101111100111101001…
…1011100001001101100
3100202221211102102001210
41133033103130021230
53133413112240224
6114551214234420
710250103410100
oct1371723341154
9322854372053
10102262227564
113a4073a8162
121799b4b5a10
1398493bac33
144d41699900
1529d7b49429
hex17cf4dc26c

102262227564 has 72 divisors (see below), whose sum is σ = 278313652848. Its totient is φ = 29139384960.

The previous prime is 102262227559. The next prime is 102262227589. The reversal of 102262227564 is 465722262201.

102262227564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13807 + ... + 452454.

Almost surely, 2102262227564 is an apocalyptic number.

102262227564 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 102262227564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139156826424).

102262227564 is an abundant number, since it is smaller than the sum of its proper divisors (176051425284).

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

102262227564 is a wasteful number, since it uses less digits than its factorization.

102262227564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466655 (or 466646 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 102262227564 its reverse (465722262201), we get a palindrome (567984489765).

The spelling of 102262227564 in words is "one hundred two billion, two hundred sixty-two million, two hundred twenty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 373 588 746 1119 1492 2238 2611 4476 5222 7833 10444 15666 18277 31332 36554 54831 73108 109662 219324 466261 932522 1398783 1865044 2797566 3263827 5595132 6527654 9791481 13055308 19582962 22846789 39165924 45693578 68540367 91387156 137080734 173915353 274161468 347830706 521746059 695661412 1043492118 1217407471 2086984236 2434814942 3652222413 4869629884 7304444826 8521852297 14608889652 17043704594 25565556891 34087409188 51131113782 102262227564