Search a number
-
+
33101012320 = 255678213761
BaseRepresentation
bin11110110100111110…
…010101110101100000
310011102212101122120021
4132310332111311200
51020242324343240
623112325323224
72251162651045
oct366476256540
9104385348507
1033101012320
1113046727532
1264b9566514
133176985b2c
1418602271cc
15cdaec254a
hex7b4f95d60

33101012320 has 96 divisors (see below), whose sum is σ = 79486124256. Its totient is φ = 13023436800.

The previous prime is 33101012299. The next prime is 33101012323. The reversal of 33101012320 is 2321010133.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 33101012294 and 33101012303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33101012323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8799240 + ... + 8803000.

It is an arithmetic number, because the mean of its divisors is an integer number (827980461).

Almost surely, 233101012320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33101012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39743062128).

33101012320 is an abundant number, since it is smaller than the sum of its proper divisors (46385111936).

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

33101012320 is a wasteful number, since it uses less digits than its factorization.

33101012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 33101012320 its reverse (2321010133), we get a palindrome (35422022453).

The spelling of 33101012320 in words is "thirty-three billion, one hundred one million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 821 1072 1340 1642 2144 2680 3284 3761 4105 5360 6568 7522 8210 10720 13136 15044 16420 18805 26272 30088 32840 37610 55007 60176 65680 75220 110014 120352 131360 150440 220028 251987 275035 300880 440056 503974 550070 601760 880112 1007948 1100140 1259935 1760224 2015896 2200280 2519870 3087781 4031792 4400560 5039740 6175562 8063584 8801120 10079480 12351124 15438905 20158960 24702248 30877810 40317920 49404496 61755620 98808992 123511240 206881327 247022480 413762654 494044960 827525308 1034406635 1655050616 2068813270 3310101232 4137626540 6620202464 8275253080 16550506160 33101012320