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21101332200 = 23352132705299
BaseRepresentation
bin10011101001101111…
…001100011011101000
32000110120212202000020
4103221233030123220
5321203420112300
613405510440440
71344624235644
oct235157143350
960416782006
1021101332200
118a49174223
12410a963120
131cb3903ab0
14104268dc24
158377b68a0
hex4e9bcc6e8

21101332200 has 96 divisors (see below), whose sum is σ = 70446012000. Its totient is φ = 5194172160.

The previous prime is 21101332193. The next prime is 21101332201. The reversal of 21101332200 is 223310112.

It is a super-2 number, since 2×211013322002 (a number of 21 digits) contains 22 as substring.

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 21101332200.

It is not an unprimeable number, because it can be changed into a prime (21101332201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1344850 + ... + 1360449.

It is an arithmetic number, because the mean of its divisors is an integer number (733812625).

Almost surely, 221101332200 is an apocalyptic number.

21101332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101332200 is an abundant number, since it is smaller than the sum of its proper divisors (49344679800).

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

21101332200 is a wasteful number, since it uses less digits than its factorization.

21101332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705331 (or 2705322 counting only the distinct ones).

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

Adding to 21101332200 its reverse (223310112), we get a palindrome (21324642312).

The spelling of 21101332200 in words is "twenty-one billion, one hundred one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 2705299 5410598 8115897 10821196 13526495 16231794 21642392 27052990 32463588 35168887 40579485 54105980 64927176 67632475 70337774 81158970 105506661 108211960 135264950 140675548 162317940 175844435 202897425 211013322 270529900 281351096 324635880 351688870 405794850 422026644 527533305 541059800 703377740 811589700 844053288 879222175 1055066610 1406755480 1623179400 1758444350 2110133220 2637666525 3516888700 4220266440 5275333050 7033777400 10550666100 21101332200