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21021122112 = 2631917893221
BaseRepresentation
bin10011100100111101…
…001101111001000000
32000020222221122110020
4103210331031321000
5321022401401422
613353523333440
71342631406204
oct234475157100
960228848406
1021021122112
118a0796a1a1
1240a7b21280
131ca00cbbc3
141035b70b04
1583072095c
hex4e4f4de40

21021122112 has 112 divisors (see below), whose sum is σ = 58596580800. Its totient is φ = 6632478720.

The previous prime is 21021122071. The next prime is 21021122137. The reversal of 21021122112 is 21122112012.

It is a junction number, because it is equal to n+sod(n) for n = 21021122091 and 21021122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6524662 + ... + 6527882.

Almost surely, 221021122112 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 21021122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29298290400).

21021122112 is an abundant number, since it is smaller than the sum of its proper divisors (37575458688).

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

21021122112 is a wasteful number, since it uses less digits than its factorization.

21021122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21021122112 its reverse (21122112012), we get a palindrome (42143234124).

The spelling of 21021122112 in words is "twenty-one billion, twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1789 1824 3221 3578 3648 5367 6442 7156 9663 10734 12884 14312 19326 21468 25768 28624 33991 38652 42936 51536 57248 61199 67982 77304 85872 101973 103072 114496 122398 135964 154608 171744 183597 203946 206144 244796 271928 309216 343488 367194 407892 489592 543856 618432 734388 815784 979184 1087712 1468776 1631568 1958368 2175424 2937552 3263136 3916736 5762369 5875104 6526272 11524738 11750208 17287107 23049476 34574214 46098952 69148428 92197904 109485011 138296856 184395808 218970022 276593712 328455033 368791616 437940044 553187424 656910066 875880088 1106374848 1313820132 1751760176 2627640264 3503520352 5255280528 7007040704 10510561056 21021122112