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21130011232 = 2511271101761
BaseRepresentation
bin10011101011011100…
…100110001001100000
32000112120211210020121
4103223130212021200
5321233240324412
613412413250024
71345423063201
oct235334461140
960476753217
1021130011232
118a63382200
124118493914
131cb9835735
1410463d75a8
1583a07e107
hex4eb726260

21130011232 has 144 divisors (see below), whose sum is σ = 46889956512. Its totient is φ = 9363200000.

The previous prime is 21130011223. The next prime is 21130011241. The reversal of 21130011232 is 23211003112.

It is an interprime number because it is at equal distance from previous prime (21130011223) and next prime (21130011241).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27765732 + ... + 27766492.

It is an arithmetic number, because the mean of its divisors is an integer number (325624698).

Almost surely, 221130011232 is an apocalyptic number.

21130011232 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 21130011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23444978256).

21130011232 is an abundant number, since it is smaller than the sum of its proper divisors (25759945280).

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

21130011232 is a wasteful number, since it uses less digits than its factorization.

21130011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 946 counting only the distinct ones).

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

Adding to 21130011232 its reverse (23211003112), we get a palindrome (44341014344).

The spelling of 21130011232 in words is "twenty-one billion, one hundred thirty million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 101 121 142 176 202 242 284 352 404 484 568 761 781 808 968 1111 1136 1522 1562 1616 1936 2222 2272 3044 3124 3232 3872 4444 6088 6248 7171 8371 8591 8888 12176 12221 12496 14342 16742 17182 17776 24352 24442 24992 28684 33484 34364 35552 48884 54031 57368 66968 68728 76861 78881 92081 97768 108062 114736 133936 137456 153722 157762 184162 195536 216124 229472 267872 274912 307444 315524 368324 391072 432248 594341 614888 631048 736648 845471 864496 867691 1188682 1229776 1262096 1473296 1690942 1728992 1735382 2377364 2459552 2524192 2946592 3381884 3470764 4754728 5457131 6537751 6763768 6941528 9300181 9509456 10914262 13075502 13527536 13883056 18600362 19018912 21828524 26151004 27055072 27766112 37200724 43657048 52302008 60028441 74401448 87314096 104604016 120056882 148802896 174628192 209208032 240113764 297605792 480227528 660312851 960455056 1320625702 1920910112 2641251404 5282502808 10565005616 21130011232