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21103202100 = 22352471579533
BaseRepresentation
bin10011101001110110…
…010100111100110100
32000110201101202000210
4103221312110330310
5321204404431400
613410014505420
71344646154361
oct235166247464
960421352023
1021103202100
118a4a2310a2
12410b505270
131cb4109c46
141042a19468
15837a35950
hex4e9d94f34

21103202100 has 144 divisors (see below), whose sum is σ = 62761483008. Its totient is φ = 5472130560.

The previous prime is 21103202077. The next prime is 21103202117. The reversal of 21103202100 is 120230112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 2208934 + ... + 2218466.

It is an arithmetic number, because the mean of its divisors is an integer number (435843632).

Almost surely, 221103202100 is an apocalyptic number.

21103202100 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 21103202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31380741504).

21103202100 is an abundant number, since it is smaller than the sum of its proper divisors (41658280908).

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

21103202100 is a wasteful number, since it uses less digits than its factorization.

21103202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21103202100 its reverse (120230112), we get a palindrome (21223432212).

The spelling of 21103202100 in words is "twenty-one billion, one hundred three million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 157 188 235 282 300 314 470 471 564 628 705 785 940 942 1175 1410 1570 1884 2350 2355 2820 3140 3525 3925 4700 4710 7050 7379 7850 9420 9533 11775 14100 14758 15700 19066 22137 23550 28599 29516 36895 38132 44274 47100 47665 57198 73790 88548 95330 110685 114396 142995 147580 184475 190660 221370 238325 285990 368950 442740 448051 476650 553425 571980 714975 737900 896102 953300 1106850 1344153 1429950 1496681 1792204 2213700 2240255 2688306 2859900 2993362 4480510 4490043 5376612 5986724 6720765 7483405 8961020 8980086 11201275 13441530 14966810 17960172 22402550 22450215 26883060 29933620 33603825 37417025 44805100 44900430 67207650 70344007 74834050 89800860 112251075 134415300 140688014 149668100 211032021 224502150 281376028 351720035 422064042 449004300 703440070 844128084 1055160105 1406880140 1758600175 2110320210 3517200350 4220640420 5275800525 7034400700 10551601050 21103202100