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21101301232 = 24114712891979
BaseRepresentation
bin10011101001101111…
…000100110111110000
32000110120211011112021
4103221233010313300
5321203413114412
613405510041224
71344624046444
oct235157046760
960416734467
1021101301232
118a49152a30
12410a949214
131cb38c297b
141042682824
158377ac607
hex4e9bc4df0

21101301232 has 80 divisors (see below), whose sum is σ = 45607795200. Its totient is φ = 9375403520.

The previous prime is 21101301229. The next prime is 21101301239. The reversal of 21101301232 is 23210310112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101301239) 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 15 ways as a sum of consecutive naturals, for example, 10661619 + ... + 10663597.

It is an arithmetic number, because the mean of its divisors is an integer number (570097440).

Almost surely, 221101301232 is an apocalyptic number.

21101301232 is a gapful number since it is divisible by the number (22) 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 21101301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22803897600).

21101301232 is an abundant number, since it is smaller than the sum of its proper divisors (24506493968).

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

21101301232 is a wasteful number, since it uses less digits than its factorization.

21101301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21101301232 its reverse (23210310112), we get a palindrome (44311611344).

The spelling of 21101301232 in words is "twenty-one billion, one hundred one million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 1289 1979 2068 2578 3958 4136 5156 7916 8272 10312 14179 15832 20624 21769 28358 31664 43538 56716 60583 87076 93013 113432 121166 174152 186026 226864 242332 348304 372052 484664 666413 744104 969328 1023143 1332826 1488208 2046286 2550931 2665652 4092572 5101862 5331304 8185144 10203724 10662608 16370288 20407448 28060241 40814896 56120482 112240964 119893757 224481928 239787514 448963856 479575028 959150056 1318831327 1918300112 2637662654 5275325308 10550650616 21101301232