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233011213020 = 223251693764623
BaseRepresentation
bin1101100100000010001…
…1001111001011011100
3211021102221201001120200
43121000203033023130
512304201332304040
6255013250543500
722556143426365
oct3310043171334
9737387631520
10233011213020
118a901834133
12391aab97b90
1318c854c3511
14b3c6410b6c
1560db609630
hex36408cf2dc

233011213020 has 72 divisors (see below), whose sum is σ = 707219088576. Its totient is φ = 62099540352.

The previous prime is 233011213003. The next prime is 233011213027. The reversal of 233011213020 is 20312110332.

233011213020 is a `hidden beast` number, since 2 + 330 + 11 + 21 + 302 + 0 = 666.

233011213020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 233011212984 and 233011213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233011213027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77572 + ... + 687051.

Almost surely, 2233011213020 is an apocalyptic number.

233011213020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233011213020 is an abundant number, since it is smaller than the sum of its proper divisors (474207875556).

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

233011213020 is a wasteful number, since it uses less digits than its factorization.

233011213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766331 (or 766326 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233011213020 its reverse (20312110332), we get a palindrome (253323323352).

It can be divided in two parts, 23301 and 1213020, that added together give a palindrome (1236321).

The spelling of 233011213020 in words is "two hundred thirty-three billion, eleven million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1693 3386 5079 6772 8465 10158 15237 16930 20316 25395 30474 33860 50790 60948 76185 101580 152370 304740 764623 1529246 2293869 3058492 3823115 4587738 6881607 7646230 9175476 11469345 13763214 15292460 22938690 27526428 34408035 45877380 68816070 137632140 1294506739 2589013478 3883520217 5178026956 6472533695 7767040434 11650560651 12945067390 15534080868 19417601085 23301121302 25890134780 38835202170 46602242604 58252803255 77670404340 116505606510 233011213020