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21103214112 = 25321719122567
BaseRepresentation
bin10011101001110110…
…010111111000100000
32000110201102100111200
4103221312113320200
5321204410322422
613410015041200
71344646234401
oct235166277040
960421370450
1021103214112
118a4a23a122
12410b510200
131cb4112556
141042a1d9a8
15837a392ac
hex4e9d97e20

21103214112 has 144 divisors (see below), whose sum is σ = 63877911552. Its totient is φ = 6585661440.

The previous prime is 21103214089. The next prime is 21103214123. The reversal of 21103214112 is 21141230112.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 923853 + ... + 946419.

It is an arithmetic number, because the mean of its divisors is an integer number (443596608).

Almost surely, 221103214112 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 21103214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31938955776).

21103214112 is an abundant number, since it is smaller than the sum of its proper divisors (42774697440).

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

21103214112 is a wasteful number, since it uses less digits than its factorization.

21103214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22791 (or 22780 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21103214112 its reverse (21141230112), we get a palindrome (42244444224).

The spelling of 21103214112 in words is "twenty-one billion, one hundred three million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 191 204 272 288 306 382 408 544 573 612 764 816 1146 1224 1528 1632 1719 2292 2448 3056 3247 3438 4584 4896 6112 6494 6876 9168 9741 12988 13752 18336 19482 22567 25976 27504 29223 38964 45134 51952 55008 58446 67701 77928 90268 103904 116892 135402 155856 180536 203103 233784 270804 311712 361072 383639 406206 467568 541608 722144 767278 812412 935136 1083216 1150917 1534556 1624824 2166432 2301834 3069112 3249648 3452751 4310297 4603668 6138224 6499296 6905502 8620594 9207336 12276448 12930891 13811004 17241188 18414672 25861782 27622008 34482376 36829344 38792673 51723564 55244016 68964752 73275049 77585346 103447128 110488032 137929504 146550098 155170692 206894256 219825147 293100196 310341384 413788512 439650294 586200392 620682768 659475441 879300588 1172400784 1241365536 1318950882 1758601176 2344801568 2637901764 3517202352 5275803528 7034404704 10551607056 21103214112