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21130010132 = 22711971634339
BaseRepresentation
bin10011101011011100…
…100101111000010100
32000112120211201201212
4103223130211320110
5321233240311012
613412413240552
71345423060040
oct235334457024
960476751655
1021130010132
118a633813a0
124118493158
131cb983509a
1410463d7020
1583a07db22
hex4eb725e14

21130010132 has 96 divisors (see below), whose sum is σ = 46873666560. Its totient is φ = 8095749120.

The previous prime is 21130010129. The next prime is 21130010137. The reversal of 21130010132 is 23101003112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21130010137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4867619 + ... + 4871957.

It is an arithmetic number, because the mean of its divisors is an integer number (488267360).

Almost surely, 221130010132 is an apocalyptic number.

21130010132 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 21130010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436833280).

21130010132 is an abundant number, since it is smaller than the sum of its proper divisors (25743656428).

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

21130010132 is a wasteful number, since it uses less digits than its factorization.

21130010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 21130010132 its reverse (23101003112), we get a palindrome (44231013244).

The spelling of 21130010132 in words is "twenty-one billion, one hundred thirty million, ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 154 163 194 308 326 388 652 679 1067 1141 1358 1793 2134 2282 2716 3586 4268 4339 4564 7172 7469 8678 12551 14938 15811 17356 25102 29876 30373 31622 47729 50204 60746 63244 95458 110677 121492 173921 190916 221354 334103 347842 420883 442708 668206 695684 707257 841766 1217447 1336412 1414514 1683532 2434894 2829028 2946181 4629713 4869788 4950799 5892362 7779827 9259426 9901598 11784724 15559654 18518852 19803196 31119308 32407991 54458789 64815982 68603929 108917578 129631964 137207858 217835156 274415716 480227503 754643219 960455006 1509286438 1920910012 3018572876 5282502533 10565005066 21130010132