Search a number
-
+
232101213120 = 26325737615101
BaseRepresentation
bin1101100000101001001…
…1110111001111000000
3211012002112101021101200
43120022103313033000
512300320402304440
6254343102301200
722524453521430
oct3301223671700
9735075337350
10232101213120
118a4850a17a7
1238b96287800
1318b6bb0833a
14b33b6102c0
1560867a4c30
hex360a4f73c0

232101213120 has 672 divisors, whose sum is σ = 952585685376. Its totient is φ = 50761728000.

The previous prime is 232101213109. The next prime is 232101213121. The reversal of 232101213120 is 21312101232.

232101213120 is a `hidden beast` number, since 23 + 210 + 121 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232101213093 and 232101213102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232101213121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45498570 + ... + 45503670.

Almost surely, 2232101213120 is an apocalyptic number.

232101213120 is a gapful number since it is divisible by the number (20) 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 232101213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476292842688).

232101213120 is an abundant number, since it is smaller than the sum of its proper divisors (720484472256).

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

232101213120 is a wasteful number, since it uses less digits than its factorization.

232101213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232101213120 its reverse (21312101232), we get a palindrome (253413314352).

The spelling of 232101213120 in words is "two hundred thirty-two billion, one hundred one million, two hundred thirteen thousand, one hundred twenty".