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21131100240 = 2435311928229
BaseRepresentation
bin10011101011100000…
…110000000001010000
32000112122220010002020
4103223200300001100
5321234030201430
613412452451440
71345435250145
oct235340600120
960478803066
1021131100240
118a63a56408
124118919b80
131cb9b27313
1410465dc3cc
1583a1e6b10
hex4eb830050

21131100240 has 80 divisors (see below), whose sum is σ = 65529734400. Its totient is φ = 5632953856.

The previous prime is 21131100217. The next prime is 21131100251. The reversal of 21131100240 is 4200113112.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 734446 + ... + 762674.

It is an arithmetic number, because the mean of its divisors is an integer number (819121680).

Almost surely, 221131100240 is an apocalyptic number.

21131100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21131100240 is an abundant number, since it is smaller than the sum of its proper divisors (44398634160).

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

21131100240 is a wasteful number, since it uses less digits than its factorization.

21131100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31364 (or 31358 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21131100240 its reverse (4200113112), we get a palindrome (25331213352).

The spelling of 21131100240 in words is "twenty-one billion, one hundred thirty-one million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3119 6238 9357 12476 15595 18714 24952 28229 31190 37428 46785 49904 56458 62380 74856 84687 93570 112916 124760 141145 149712 169374 187140 225832 249520 282290 338748 374280 423435 451664 564580 677496 748560 846870 1129160 1354992 1693740 2258320 3387480 6774960 88046251 176092502 264138753 352185004 440231255 528277506 704370008 880462510 1056555012 1320693765 1408740016 1760925020 2113110024 2641387530 3521850040 4226220048 5282775060 7043700080 10565550120 21131100240