Search a number
-
+
102303210020 = 225112713175413
BaseRepresentation
bin101111101000110111…
…1110001101000100100
3100210001200112112102112
41133101233301220210
53134004110210040
6114555240500152
710251111636344
oct1372157615044
9323050475375
10102303210020
113a428549960
12179b117a658
139854a399cb
144d46cc6d24
1529db542365
hex17d1bf1a24

102303210020 has 96 divisors (see below), whose sum is σ = 236017829376. Its totient is φ = 36940147200.

The previous prime is 102303210001. The next prime is 102303210029. The reversal of 102303210020 is 20012303201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102303209977 and 102303210004.

It is not an unprimeable number, because it can be changed into a prime (102303210029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18896834 + ... + 18902246.

It is an arithmetic number, because the mean of its divisors is an integer number (2458519056).

Almost surely, 2102303210020 is an apocalyptic number.

102303210020 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 102303210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118008914688).

102303210020 is an abundant number, since it is smaller than the sum of its proper divisors (133714619356).

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

102303210020 is a wasteful number, since it uses less digits than its factorization.

102303210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102303210020 its reverse (20012303201), we get a palindrome (122315513221).

The spelling of 102303210020 in words is "one hundred two billion, three hundred three million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 317 542 634 1084 1268 1355 1585 2710 2981 3170 3487 5413 5420 5962 6340 6974 10826 11924 13948 14905 17435 21652 27065 29810 34870 54130 59543 59620 69740 85907 108260 119086 171814 238172 297715 343628 429535 595430 859070 944977 1190860 1466923 1715921 1718140 1889954 2933846 3431842 3779908 4724885 5867692 6863684 7334615 8579605 9449770 14669230 16136153 17159210 18875131 18899540 29338460 32272306 34318420 37750262 64544612 75500524 80680765 94375655 161361530 188751310 322723060 377502620 465014591 930029182 1860058364 2325072955 4650145910 5115160501 9300291820 10230321002 20460642004 25575802505 51151605010 102303210020