Search a number
-
+
102332013210120 = 233537187112318413
BaseRepresentation
bin10111010001001000000111…
…010010111110101000001000
3111102022211210221120222110210
4113101020013102332220020
5101403101430340210440
61001350402231041120
730361146453313041
oct2721100722765010
9442284727528423
10102332013210120
112a673843737901
12b5887682101a0
134513b379c20a5
141b3ac783858c8
15bc6d556a6a80
hex5d12074bea08

102332013210120 has 128 divisors (see below), whose sum is σ = 315461771389440. Its totient is φ = 26536815866880.

The previous prime is 102332013210113. The next prime is 102332013210131. The reversal of 102332013210120 is 21012310233201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148034 + ... + 14466446.

It is an arithmetic number, because the mean of its divisors is an integer number (2464545088980).

Almost surely, 2102332013210120 is an apocalyptic number.

102332013210120 is a gapful number since it is divisible by the number (10) 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 102332013210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157730885694720).

102332013210120 is an abundant number, since it is smaller than the sum of its proper divisors (213129758179320).

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

102332013210120 is a wasteful number, since it uses less digits than its factorization.

102332013210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320335 (or 12320331 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102332013210120 its reverse (21012310233201), we get a palindrome (123344323443321).

The spelling of 102332013210120 in words is "one hundred two trillion, three hundred thirty-two billion, thirteen million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 1871 2220 3742 4440 5613 7484 9355 11226 14968 18710 22452 28065 37420 44904 56130 69227 74840 112260 138454 207681 224520 276908 346135 415362 553816 692270 830724 1038405 1384540 1661448 2076810 2769080 4153620 8307240 12318413 24636826 36955239 49273652 61592065 73910478 98547304 123184130 147820956 184776195 246368260 295641912 369552390 455781281 492736520 739104780 911562562 1367343843 1478209560 1823125124 2278906405 2734687686 3646250248 4557812810 5469375372 6836719215 9115625620 10938750744 13673438430 18231251240 23047750723 27346876860 46095501446 54693753720 69143252169 92191002892 115238753615 138286504338 184382005784 230477507230 276573008676 345716260845 460955014460 553146017352 691432521690 852766776751 921910028920 1382865043380 1705533553502 2558300330253 2765730086760 3411067107004 4263833883755 5116600660506 6822134214008 8527667767510 10233201321012 12791501651265 17055335535020 20466402642024 25583003302530 34110671070040 51166006605060 102332013210120