Search a number
-
+
232122130040 = 23556314297213
BaseRepresentation
bin1101100000101110001…
…1101001111001111000
3211012010222201222000102
43120023203221321320
512300341231130130
6254345130454532
722525126356623
oct3301343517170
9735128658012
10232122130040
118a495988a09
1238ba1294448
1318b7324cc08
14b3402d6dba
156088537645
hex360b8e9e78

232122130040 has 64 divisors (see below), whose sum is σ = 523641175200. Its totient is φ = 92606234112.

The previous prime is 232122130013. The next prime is 232122130073. The reversal of 232122130040 is 40031221232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232122129994 and 232122130021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32177474 + ... + 32184686.

Almost surely, 2232122130040 is an apocalyptic number.

232122130040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232122130040 is an abundant number, since it is smaller than the sum of its proper divisors (291519045160).

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

232122130040 is a wasteful number, since it uses less digits than its factorization.

232122130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216 (or 9212 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232122130040 its reverse (40031221232), we get a palindrome (272153351272).

The spelling of 232122130040 in words is "two hundred thirty-two billion, one hundred twenty-two million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 563 1126 1429 2252 2815 2858 4504 5630 5716 7145 7213 11260 11432 14290 14426 22520 28580 28852 36065 57160 57704 72130 144260 288520 804527 1609054 3218108 4022635 4060919 6436216 8045270 8121838 10307377 16090540 16243676 20304595 20614754 32181080 32487352 40609190 41229508 51536885 81218380 82459016 103073770 162436760 206147540 412295080 5803053251 11606106502 23212213004 29015266255 46424426008 58030532510 116061065020 232122130040