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21623125300 = 2252741811929
BaseRepresentation
bin10100001000110101…
…101011010100110100
32001210221201120120121
4110020311223110310
5323241010002200
613533350341324
71363561350430
oct241065532464
961727646517
1021623125300
119196766097
12423565a844
132067a494ca
141091ab99c0
158684d6e1a
hex508d6b534

21623125300 has 144 divisors (see below), whose sum is σ = 55060225920. Its totient is φ = 7216128000.

The previous prime is 21623125289. The next prime is 21623125327. The reversal of 21623125300 is 352132612.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23275236 + ... + 23276164.

It is an arithmetic number, because the mean of its divisors is an integer number (382362680).

Almost surely, 221623125300 is an apocalyptic number.

21623125300 is a gapful number since it is divisible by the number (20) 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 21623125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27530112960).

21623125300 is an abundant number, since it is smaller than the sum of its proper divisors (33437100620).

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

21623125300 is a wasteful number, since it uses less digits than its factorization.

21623125300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 21623125300 its reverse (352132612), we get a palindrome (21975257912).

It can be divided in two parts, 2162312 and 5300, that added together give a palindrome (2167612).

The spelling of 21623125300 in words is "twenty-one billion, six hundred twenty-three million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 811 820 929 1025 1148 1435 1622 1858 2050 2870 3244 3716 4055 4100 4645 5677 5740 6503 7175 8110 9290 11354 13006 14350 16220 18580 20275 22708 23225 26012 28385 28700 32515 33251 38089 40550 46450 56770 65030 66502 76178 81100 92900 113540 130060 133004 141925 152356 162575 166255 190445 232757 266623 283850 325150 332510 380890 465514 533246 567700 650300 665020 753419 761780 831275 931028 952225 1066492 1163785 1333115 1506838 1662550 1904450 2327570 2666230 3013676 3325100 3767095 3808900 4655140 5273933 5332460 5818925 6665575 7534190 10547866 11637850 13331150 15068380 18835475 21095732 23275700 26369665 26662300 30890179 37670950 52739330 61780358 75341900 105478660 123560716 131848325 154450895 216231253 263696650 308901790 432462506 527393300 617803580 772254475 864925012 1081156265 1544508950 2162312530 3089017900 4324625060 5405781325 10811562650 21623125300