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21100012200 = 23325237316817
BaseRepresentation
bin10011101001101010…
…001010001010101000
32000110111101200022100
4103221222022022220
5321203100342300
613405422253400
71344610100361
oct235152121250
960414350270
1021100012200
118a48452513
12410a427260
131cb3561027
141042428b68
15837605700
hex4e9a8a2a8

21100012200 has 144 divisors (see below), whose sum is σ = 72776262780. Its totient is φ = 5474580480.

The previous prime is 21100012189. The next prime is 21100012249. The reversal of 21100012200 is 221000112.

It can be written as a sum of positive squares in 6 ways, for example, as 11512860804 + 9587151396 = 107298^2 + 97914^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91809 + ... + 225008.

Almost surely, 221100012200 is an apocalyptic number.

21100012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100012200 is an abundant number, since it is smaller than the sum of its proper divisors (51676250580).

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

21100012200 is a wasteful number, since it uses less digits than its factorization.

21100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316876 (or 316864 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21100012200 its reverse (221000112), we get a palindrome (21321012312).

The spelling of 21100012200 in words is "twenty-one billion, one hundred million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 316817 633634 950451 1267268 1584085 1900902 2534536 2851353 3168170 3801804 4752255 5702706 6336340 7603608 7920425 9504510 11405412 11722229 12672680 14256765 15840850 19009020 22810824 23444458 23761275 28513530 31681700 35166687 38018040 46888916 47522550 57027060 58611145 63363400 70333374 71283825 93777832 95045100 105500061 114054120 117222290 140666748 142567650 175833435 190090200 211000122 234444580 281333496 285135300 293055725 351666870 422000244 468889160 527500305 570270600 586111450 703333740 844000488 879167175 1055000610 1172222900 1406667480 1758334350 2110001220 2344445800 2637501525 3516668700 4220002440 5275003050 7033337400 10550006100 21100012200