Search a number
-
+
202102330131032 = 232347831511186343
BaseRepresentation
bin101101111100111110011101…
…100110001000001001011000
3222111120210102212200011122112
4231330332131212020021120
5202442221033003143112
61553500310112211452
760366261100505162
oct5574763546101130
9874523385604575
10202102330131032
115943a131620161
121a800951539b88
1388a0224cc7636
1437c9b3aba7932
15185722ab2aa22
hexb7cf9d988258

202102330131032 has 128 divisors (see below), whose sum is σ = 408968848834560. Its totient is φ = 93398963349120.

The previous prime is 202102330130993. The next prime is 202102330131089. The reversal of 202102330131032 is 230131033201202.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 202102330130989 and 202102330131007.

It is a congruent number.

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, 1084478453 + ... + 1084664795.

It is an arithmetic number, because the mean of its divisors is an integer number (3195069131520).

Almost surely, 2202102330131032 is an apocalyptic number.

It is an amenable number.

202102330131032 is an abundant number, since it is smaller than the sum of its proper divisors (206866518703528).

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

202102330131032 is a wasteful number, since it uses less digits than its factorization.

202102330131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188013 (or 188009 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 202102330131032 its reverse (230131033201202), we get a palindrome (432233363332234).

The spelling of 202102330131032 in words is "two hundred two trillion, one hundred two billion, three hundred thirty million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 23 46 47 83 92 94 166 184 188 332 376 664 1081 1511 1909 2162 3022 3818 3901 4324 6044 7636 7802 8648 12088 15272 15604 31208 34753 69506 71017 89723 125413 139012 142034 179446 186343 250826 278024 284068 358892 372686 501652 568136 717784 745372 1003304 1490744 1633391 2884499 3266782 4285889 5768998 5894411 6533564 8571778 8758121 11537996 11788822 13067128 15466469 17143556 17516242 23075992 23577644 30932938 34287112 35032484 47155288 61865876 70064968 123731752 135571453 201436783 271142906 281564273 355728787 402873566 542285812 563128546 711457574 726924043 805747132 1084571624 1126257092 1422915148 1453848086 1611494264 2252514184 2845830296 2907696172 5815392344 6475978279 12951956558 13233520831 16719252989 23369834659 25903913116 26467041662 33438505978 46739669318 51807826232 52934083324 66877011956 93479338636 105868166648 133754023912 186958677272 304370979113 537506197157 608741958226 1075012394314 1098382228973 1217483916452 2150024788628 2196764457946 2434967832904 4300049577256 4393528915892 8787057831784 25262791266379 50525582532758 101051165065516 202102330131032