Search a number
-
+
312022032033133 = 1012107929307711
BaseRepresentation
bin100011011110010000100101…
…0011000011010010101101101
31111220210000101220011221022201
41012330201022120122111231
5311344132110200030013
63023340535341141501
7122502563553625252
oct10674411230322555
91456700356157281
10312022032033133
1190468889759974
122abb3b6325a891
1310514722480ba6
145709d38533429
152611620ad93dd
hex11bc84a61a56d

312022032033133 has 24 divisors (see below), whose sum is σ = 318430630563840. Its totient is φ = 305715054528000.

The previous prime is 312022032033121. The next prime is 312022032033203. The reversal of 312022032033133 is 331330230220213.

It is a de Polignac number, because none of the positive numbers 2k-312022032033133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312022032033233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013856148 + ... + 1014163858.

It is an arithmetic number, because the mean of its divisors is an integer number (13267942940160).

Almost surely, 2312022032033133 is an apocalyptic number.

It is an amenable number.

312022032033133 is a deficient number, since it is larger than the sum of its proper divisors (6408598530707).

312022032033133 is a wasteful number, since it uses less digits than its factorization.

312022032033133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308949 (or 308848 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 312022032033133 its reverse (331330230220213), we get a palindrome (643352262253346).

The spelling of 312022032033133 in words is "three hundred twelve trillion, twenty-two billion, thirty-two million, thirty-three thousand, one hundred thirty-three".

Divisors: 1 101 107 929 10201 10807 93829 99403 307711 1091507 9476729 10039703 31078811 32925077 285863519 1014010003 3138959911 3325432777 28872215419 30587396533 335868710477 2916093757319 3089327049833 312022032033133