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21125105400 = 2335272718541
BaseRepresentation
bin10011101011001001…
…111000011011111000
32000112020121112201010
4103223021320123320
5321231011333100
613412120153520
71345333301400
oct235311703370
960466545633
1021125105400
118a606313a3
1241169088a0
131cb8808789
1410458bb800
15839910750
hex4eb2786f8

21125105400 has 144 divisors (see below), whose sum is σ = 76179822840. Its totient is φ = 4828588800.

The previous prime is 21125105321. The next prime is 21125105429. The reversal of 21125105400 is 450152112.

It is a super-2 number, since 2×211251054002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 329871 + ... + 388670.

Almost surely, 221125105400 is an apocalyptic number.

21125105400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21125105400 is an abundant number, since it is smaller than the sum of its proper divisors (55054717440).

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

21125105400 is a wasteful number, since it uses less digits than its factorization.

21125105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718574 (or 718558 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 21125105400 its reverse (450152112), we get a palindrome (21575257512).

The spelling of 21125105400 in words is "twenty-one billion, one hundred twenty-five million, one hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 718541 1437082 2155623 2874164 3592705 4311246 5029787 5748328 7185410 8622492 10059574 10778115 14370820 15089361 17244984 17963525 20119148 21556230 25148935 28741640 30178722 35208509 35927050 40238296 43112460 50297870 53890575 60357444 70417018 71854100 75446805 86224920 100595740 105625527 107781150 120714888 125744675 140834036 143708200 150893610 176042545 201191480 211251054 215562300 251489350 281668072 301787220 352085090 377234025 422502108 431124600 502978700 528127635 603574440 704170180 754468050 845004216 880212725 1005957400 1056255270 1408340360 1508936100 1760425450 2112510540 2640638175 3017872200 3520850900 4225021080 5281276350 7041701800 10562552700 21125105400