Search a number
-
+
32120211123 = 337111329107383
BaseRepresentation
bin11101111010100000…
…111000011010110011
310001220111211210021000
4131322200320122303
51011240233223443
622431131333043
72214653201250
oct357240703263
9101814753230
1032120211123
1112693027030
126284bb1183
13304b70b4b0
1417a9c76427
15c7ed348d3
hex77a8386b3

32120211123 has 256 divisors, whose sum is σ = 66886041600. Its totient is φ = 14693736960.

The previous prime is 32120211119. The next prime is 32120211127. The reversal of 32120211123 is 32111202123.

It is an interprime number because it is at equal distance from previous prime (32120211119) and next prime (32120211127).

It is not a de Polignac number, because 32120211123 - 22 = 32120211119 is a prime.

It is a super-2 number, since 2×321202111232 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32120211096 and 32120211105.

It is not an unprimeable number, because it can be changed into a prime (32120211127) 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 255 ways as a sum of consecutive naturals, for example, 83864590 + ... + 83864972.

It is an arithmetic number, because the mean of its divisors is an integer number (261273600).

Almost surely, 232120211123 is an apocalyptic number.

32120211123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32120211123 is an abundant number, since it is smaller than the sum of its proper divisors (34765830477).

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

32120211123 is a wasteful number, since it uses less digits than its factorization.

32120211123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

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

Adding to 32120211123 its reverse (32111202123), we get a palindrome (64231413246).

The spelling of 32120211123 in words is "thirty-two billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-three".