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202303231130 = 257211213262469
BaseRepresentation
bin1011110001101000110…
…1100101010010011010
3201100011212012221122002
42330122031211102122
511303304111344010
6232534204201002
720421156043400
oct2743215452232
9640155187562
10202303231130
1178883999900
123325ab39162
1316100555c30
149b11d51470
1553e07831a5
hex2f1a36549a

202303231130 has 144 divisors (see below), whose sum is σ = 501425837640. Its totient is φ = 58204903680.

The previous prime is 202303231127. The next prime is 202303231133. The reversal of 202303231130 is 31132303202.

202303231130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202303231127) and next prime (202303231133).

It can be written as a sum of positive squares in 4 ways, for example, as 61512432289 + 140790798841 = 248017^2 + 375221^2 .

It is not an unprimeable number, because it can be changed into a prime (202303231133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 639536 + ... + 902004.

Almost surely, 2202303231130 is an apocalyptic number.

202303231130 is an abundant number, since it is smaller than the sum of its proper divisors (299122606510).

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

202303231130 is a wasteful number, since it uses less digits than its factorization.

202303231130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262525 (or 262507 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 202303231130 its reverse (31132303202), we get a palindrome (233435534332).

The spelling of 202303231130 in words is "two hundred two billion, three hundred three million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 121 130 143 154 182 242 245 286 385 455 490 539 605 637 715 770 847 910 1001 1078 1210 1274 1430 1573 1694 2002 2695 3146 3185 4235 5005 5390 5929 6370 7007 7865 8470 10010 11011 11858 14014 15730 22022 29645 35035 55055 59290 70070 77077 110110 154154 262469 385385 524938 770770 1312345 1837283 2624690 2887159 3412097 3674566 5774318 6824194 9186415 12860981 14435795 17060485 18372830 20210113 23884679 25721962 28871590 31758749 34120970 37533067 40420226 47769358 63517498 64304905 75066134 101050565 119423395 128609810 141470791 158793745 167192753 187665335 202101130 222311243 238846790 262731469 282941582 317587490 334385506 375330670 412863737 444622486 525462938 707353955 825727474 835963765 1111556215 1313657345 1414707910 1556178701 1671927530 1839120283 2064318685 2223112430 2627314690 2890046159 3112357402 3678240566 4128637370 5780092318 7780893505 9195601415 14450230795 15561787010 18391202830 20230323113 28900461590 40460646226 101151615565 202303231130