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21101101328 = 2431413373079
BaseRepresentation
bin10011101001101110…
…010100000100010000
32000110120110000022102
4103221232110010100
5321203340220303
613405501455532
71344622254566
oct235156240420
960416400272
1021101101328
118a4902681a
12410a8715a8
131cb3852998
14104262da36
1583776d288
hex4e9b94110

21101101328 has 80 divisors (see below), whose sum is σ = 43373890560. Its totient is φ = 9928396800.

The previous prime is 21101101327. The next prime is 21101101349. The reversal of 21101101328 is 82310110112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21101101321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6851693 + ... + 6854771.

It is an arithmetic number, because the mean of its divisors is an integer number (542173632).

Almost surely, 221101101328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101101328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21686945280).

21101101328 is an abundant number, since it is smaller than the sum of its proper divisors (22272789232).

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

21101101328 is a wasteful number, since it uses less digits than its factorization.

21101101328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The spelling of 21101101328 in words is "twenty-one billion, one hundred one million, one hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 328 337 496 656 674 1271 1348 2542 2696 3079 5084 5392 6158 10168 10447 12316 13817 20336 20894 24632 27634 41788 49264 55268 83576 95449 110536 126239 167152 190898 221072 252478 381796 428327 504956 763592 856654 1009912 1037623 1527184 1713308 2019824 2075246 3426616 3913409 4150492 6853232 7826818 8300984 15653636 16601968 31307272 32166313 42542543 62614544 64332626 85085086 128665252 170170172 257330504 340340344 514661008 680680688 1318818833 2637637666 5275275332 10550550664 21101101328