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21623061323100 = 22352134995339423
BaseRepresentation
bin1001110101010100000101…
…11000111001110101011100
32211120010220022200120200210
410322222002320321311130
510313233012144314400
6113553255223052420
74361133421443036
oct472520270716534
984503808616623
1021623061323100
11698731a44a936
12251283b5a1110
13c0b079bba193
1454a7c163ac56
152776ead3e950
hex13aa82e39d5c

21623061323100 has 72 divisors (see below), whose sum is σ = 62567370432000. Its totient is φ = 5765721452480.

The previous prime is 21623061323099. The next prime is 21623061323137. The reversal of 21623061323100 is 132316032612.

It is a super-2 number, since 2×216230613231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379989 + ... + 6719411.

It is an arithmetic number, because the mean of its divisors is an integer number (868991256000).

Almost surely, 221623061323100 is an apocalyptic number.

21623061323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21623061323100 is an abundant number, since it is smaller than the sum of its proper divisors (40944309108900).

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

21623061323100 is a wasteful number, since it uses less digits than its factorization.

21623061323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352939 (or 5352932 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 21623061323100 its reverse (132316032612), we get a palindrome (21755377355712).

The spelling of 21623061323100 in words is "twenty-one trillion, six hundred twenty-three billion, sixty-one million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 13499 26998 40497 53996 67495 80994 134990 161988 202485 269980 337475 404970 674950 809940 1012425 1349900 2024850 4049700 5339423 10678846 16018269 21357692 26697115 32036538 53394230 64073076 80091345 106788460 133485575 160182690 266971150 320365380 400456725 533942300 800913450 1601826900 72076871077 144153742154 216230613231 288307484308 360384355385 432461226462 720768710770 864922452924 1081153066155 1441537421540 1801921776925 2162306132310 3603843553850 4324612264620 5405765330775 7207687107700 10811530661550 21623061323100