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33213131120 = 24513313102031
BaseRepresentation
bin11110111011101010…
…000010100101110000
310011201200100212122102
4132323222002211300
51021010030143440
623131412355532
72254023646031
oct367352024560
9104650325572
1033213131120
11130a3a45aa4
12652b015ba8
133193c80710
141871090a88
15ce5c6cb15
hex7bba82970

33213131120 has 80 divisors (see below), whose sum is σ = 83427076992. Its totient is φ = 12224010240.

The previous prime is 33213131113. The next prime is 33213131143. The reversal of 33213131120 is 2113131233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×332131311202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33213131092 and 33213131101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274505 + ... + 376535.

Almost surely, 233213131120 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 33213131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41713538496).

33213131120 is an abundant number, since it is smaller than the sum of its proper divisors (50213945872).

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

33213131120 is a wasteful number, since it uses less digits than its factorization.

33213131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102370 (or 102364 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 33213131120 its reverse (2113131233), we get a palindrome (35326262353).

The spelling of 33213131120 in words is "thirty-three billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 313 520 626 1040 1252 1565 2504 3130 4069 5008 6260 8138 12520 16276 20345 25040 32552 40690 65104 81380 102031 162760 204062 325520 408124 510155 816248 1020310 1326403 1632496 2040620 2652806 4081240 5305612 6632015 8162480 10611224 13264030 21222448 26528060 31935703 53056120 63871406 106112240 127742812 159678515 255485624 319357030 415164139 510971248 638714060 830328278 1277428120 1660656556 2075820695 2554856240 3321313112 4151641390 6642626224 8303282780 16606565560 33213131120