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21201222100 = 2252737997379
BaseRepresentation
bin10011101111101100…
…001111100111010100
32000201112211200012011
4103233230033213110
5321410003101400
613423435434004
71350246262102
oct235754174724
960645750164
1021201222100
118a9a59aa63
1241382b5904
131ccb509446
141051a52c72
158414488ba
hex4efb0f9d4

21201222100 has 144 divisors (see below), whose sum is σ = 47839993600. Its totient is φ = 8151736320.

The previous prime is 21201222089. The next prime is 21201222101. The reversal of 21201222100 is 122210212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201222101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55939711 + ... + 55940089.

Almost surely, 221201222100 is an apocalyptic number.

21201222100 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 21201222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23919996800).

21201222100 is an abundant number, since it is smaller than the sum of its proper divisors (26638771500).

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

21201222100 is a wasteful number, since it uses less digits than its factorization.

21201222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21201222100 its reverse (122210212), we get a palindrome (21323432312).

The spelling of 21201222100 in words is "twenty-one billion, two hundred one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 79 97 100 146 158 194 292 316 365 379 388 395 485 730 758 790 970 1460 1516 1580 1825 1895 1940 1975 2425 3650 3790 3950 4850 5767 7081 7300 7580 7663 7900 9475 9700 11534 14162 15326 18950 23068 27667 28324 28835 29941 30652 35405 36763 37900 38315 55334 57670 59882 70810 73526 76630 110668 115340 119764 138335 141620 144175 147052 149705 153260 177025 183815 191575 276670 288350 299410 354050 367630 383150 553340 559399 576700 598820 691675 708100 735260 748525 766300 919075 1118798 1383350 1497050 1838150 2185693 2237596 2683699 2766700 2796995 2904277 2994100 3676300 4371386 5367398 5593990 5808554 8742772 10734796 10928465 11187980 11617108 13418495 13984975 14521385 21856930 26836990 27969950 29042770 43713860 53673980 54642325 55939900 58085540 67092475 72606925 109284650 134184950 145213850 212012221 218569300 268369900 290427700 424024442 848048884 1060061105 2120122210 4240244420 5300305525 10600611050 21201222100