Search a number
-
+
102311212290 = 23577113750087
BaseRepresentation
bin101111101001000111…
…0010011010100000010
3100210002020121002110220
41133102032103110002
53134013132243130
6115000124203510
710251236645520
oct1372216232402
9323066532426
10102311212290
113a432015101
12179b3999596
1398565ac191
144d47dab310
1529dc0c3410
hex17d2393502

102311212290 has 128 divisors (see below), whose sum is σ = 286660435968. Its totient is φ = 22887298560.

The previous prime is 102311212259. The next prime is 102311212291. The reversal of 102311212290 is 92212113201.

It is a self number, because there is not a number n which added to its sum of digits gives 102311212290.

It is not an unprimeable number, because it can be changed into a prime (102311212291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2017627 + ... + 2067713.

It is an arithmetic number, because the mean of its divisors is an integer number (2239534656).

Almost surely, 2102311212290 is an apocalyptic number.

102311212290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102311212290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143330217984).

102311212290 is an abundant number, since it is smaller than the sum of its proper divisors (184349223678).

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

102311212290 is a wasteful number, since it uses less digits than its factorization.

102311212290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50312.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 102311212290 its reverse (92212113201), we get a palindrome (194523325491).

The spelling of 102311212290 in words is "one hundred two billion, three hundred eleven million, two hundred twelve thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 137 142 210 213 274 355 411 426 497 685 710 822 959 994 1065 1370 1491 1918 2055 2130 2485 2877 2982 4110 4795 4970 5754 7455 9590 9727 14385 14910 19454 28770 29181 48635 50087 58362 68089 97270 100174 136178 145905 150261 204267 250435 291810 300522 340445 350609 408534 500870 680890 701218 751305 1021335 1051827 1502610 1753045 2042670 2103654 3506090 3556177 5259135 6861919 7112354 10518270 10668531 13723838 17780885 20585757 21337062 24893239 34309595 35561770 41171514 48033433 49786478 53342655 68619190 74679717 96066866 102928785 106685310 124466195 144100299 149359434 205857570 240167165 248932390 288200598 373398585 480334330 487196249 720501495 746797170 974392498 1441002990 1461588747 2435981245 2923177494 3410373743 4871962490 6820747486 7307943735 10231121229 14615887470 17051868715 20462242458 34103737430 51155606145 102311212290