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21103232100 = 22352599471259
BaseRepresentation
bin10011101001110110…
…011100010001100100
32000110201110021011220
4103221312130101210
5321204411411400
613410015300340
71344646341006
oct235166342144
960421407156
1021103232100
118a4a251695
12410b51a6b0
131cb411a7b2
141042a26376
15837a3e7a0
hex4e9d9c464

21103232100 has 144 divisors (see below), whose sum is σ = 62208518400. Its totient is φ = 5521915520.

The previous prime is 21103232027. The next prime is 21103232107. The reversal of 21103232100 is 123230112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21103232100.

It is not an unprimeable number, because it can be changed into a prime (21103232107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16761271 + ... + 16762529.

It is an arithmetic number, because the mean of its divisors is an integer number (432003600).

Almost surely, 221103232100 is an apocalyptic number.

21103232100 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 21103232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104259200).

21103232100 is an abundant number, since it is smaller than the sum of its proper divisors (41105286300).

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

21103232100 is a wasteful number, since it uses less digits than its factorization.

21103232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21103232100 its reverse (123230112), we get a palindrome (21226462212).

The spelling of 21103232100 in words is "twenty-one billion, one hundred three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 947 1180 1259 1475 1770 1894 2518 2841 2950 3540 3777 3788 4425 4735 5036 5682 5900 6295 7554 8850 9470 11364 12590 14205 15108 17700 18885 18940 23675 25180 28410 31475 37770 47350 55873 56820 62950 71025 74281 75540 94425 94700 111746 125900 142050 148562 167619 188850 222843 223492 279365 284100 297124 335238 371405 377700 445686 558730 670476 742810 838095 891372 1114215 1117460 1192273 1396825 1485620 1676190 1857025 2228430 2384546 2793650 3352380 3576819 3714050 4190475 4456860 4769092 5571075 5587300 5961365 7153638 7428100 8380950 11142150 11922730 14307276 16761900 17884095 22284300 23845460 29806825 35768190 59613650 70344107 71536380 89420475 119227300 140688214 178840950 211032321 281376428 351720535 357681900 422064642 703441070 844129284 1055161605 1406882140 1758602675 2110323210 3517205350 4220646420 5275808025 7034410700 10551616050 21103232100