Search a number
-
+
102203233230 = 2357326936923
BaseRepresentation
bin101111100101111001…
…0011001001111001110
3100202210201102012001110
41133023302121033032
53133303011430410
6114541305552450
710245456102000
oct1371362311716
9322721365043
10102203233230
113a38707390a
12179837a5726
13983a103947
144d37900370
1529d2894720
hex17cbc993ce

102203233230 has 128 divisors (see below), whose sum is σ = 287121024000. Its totient is φ = 23273265792.

The previous prime is 102203233229. The next prime is 102203233247. The reversal of 102203233230 is 32332302201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102203233197 and 102203233206.

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, 2749549 + ... + 2786471.

It is an arithmetic number, because the mean of its divisors is an integer number (2243133000).

Almost surely, 2102203233230 is an apocalyptic number.

102203233230 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 102203233230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143560512000).

102203233230 is an abundant number, since it is smaller than the sum of its proper divisors (184917790770).

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

102203233230 is a wasteful number, since it uses less digits than its factorization.

102203233230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37223 (or 37209 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 102203233230 its reverse (32332302201), we get a palindrome (134535535431).

The spelling of 102203233230 in words is "one hundred two billion, two hundred three million, two hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 269 294 343 490 538 686 735 807 1029 1345 1470 1614 1715 1883 2058 2690 3430 3766 4035 5145 5649 8070 9415 10290 11298 13181 18830 26362 28245 36923 39543 56490 65905 73846 79086 92267 110769 131810 184534 184615 197715 221538 258461 276801 369230 395430 461335 516922 553602 553845 775383 922670 1107690 1292305 1384005 1550766 1809227 2584610 2768010 3618454 3876915 5427681 7753830 9046135 9932287 10855362 12664589 18092270 19864574 25329178 27138405 29796861 37993767 49661435 54276810 59593722 63322945 69526009 75987534 99322870 126645890 139052018 148984305 189968835 208578027 297968610 347630045 379937670 417156054 486682063 695260090 973364126 1042890135 1460046189 2085780270 2433410315 2920092378 3406774441 4866820630 6813548882 7300230945 10220323323 14600461890 17033872205 20440646646 34067744410 51101616615 102203233230