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21125405532 = 223711128917737
BaseRepresentation
bin10011101011001011…
…000001101101011100
32000112021011210102010
4103223023001231130
5321231100434112
613412130431220
71345335661410
oct235313015534
960467153363
1021125405532
118a60816940
124116a32510
131cb88b227a
141045958d40
1583996e63c
hex4eb2c1b5c

21125405532 has 96 divisors (see below), whose sum is σ = 61506869760. Its totient is φ = 5482552320.

The previous prime is 21125405527. The next prime is 21125405537. The reversal of 21125405532 is 23550452112.

It is an interprime number because it is at equal distance from previous prime (21125405527) and next prime (21125405537).

It is a self number, because there is not a number n which added to its sum of digits gives 21125405532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21125405537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182168 + ... + 1199904.

It is an arithmetic number, because the mean of its divisors is an integer number (640696560).

Almost surely, 221125405532 is an apocalyptic number.

21125405532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21125405532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30753434880).

21125405532 is an abundant number, since it is smaller than the sum of its proper divisors (40381464228).

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

21125405532 is a wasteful number, since it uses less digits than its factorization.

21125405532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19051 (or 19049 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 21125405532 its reverse (23550452112), we get a palindrome (44675857644).

The spelling of 21125405532 in words is "twenty-one billion, one hundred twenty-five million, four hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1289 2578 3867 5156 7734 9023 14179 15468 17737 18046 27069 28358 35474 36092 42537 53211 54138 56716 70948 85074 99253 106422 108276 124159 170148 195107 198506 212844 248318 297759 372477 390214 397012 496636 585321 595518 744954 780428 1170642 1191036 1365749 1489908 2341284 2731498 4097247 5462996 8194494 16388988 22862993 45725986 68588979 91451972 137177958 160040951 251492923 274355916 320081902 480122853 502985846 640163804 754478769 960245706 1005971692 1508957538 1760450461 1920491412 3017915076 3520900922 5281351383 7041801844 10562702766 21125405532