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21142529112 = 23329671313461
BaseRepresentation
bin10011101100001100…
…010110010001011000
32000120110101202112210
4103230030112101120
5321244441412422
613413541435120
71345634350365
oct235414262130
960513352483
1021142529112
118a6a452061
12412070baa0
131cbc2c9373
141047d3546c
1583b20310c
hex4ec316458

21142529112 has 128 divisors (see below), whose sum is σ = 55934841600. Its totient is φ = 6649843200.

The previous prime is 21142529087. The next prime is 21142529137. The reversal of 21142529112 is 21192524112.

It is an interprime number because it is at equal distance from previous prime (21142529087) and next prime (21142529137).

It is a self number, because there is not a number n which added to its sum of digits gives 21142529112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6107062 + ... + 6110522.

It is an arithmetic number, because the mean of its divisors is an integer number (436990950).

Almost surely, 221142529112 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 21142529112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27967420800).

21142529112 is an abundant number, since it is smaller than the sum of its proper divisors (34792312488).

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

21142529112 is a wasteful number, since it uses less digits than its factorization.

21142529112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3693 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

Subtracting 21142529112 from its reverse (21192524112), we obtain a triangular number (49995000 = T9999).

The spelling of 21142529112 in words is "twenty-one billion, one hundred forty-two million, five hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 67 87 116 131 134 174 201 232 262 268 348 393 402 524 536 696 786 804 1048 1572 1608 1943 3144 3461 3799 3886 5829 6922 7598 7772 8777 10383 11397 11658 13844 15196 15544 17554 20766 22794 23316 26331 27688 30392 35108 41532 45588 46632 52662 70216 83064 91176 100369 105324 200738 210648 231887 254533 301107 401476 453391 463774 509066 602214 695661 763599 802952 906782 927548 1018132 1204428 1360173 1391322 1527198 1813564 1855096 2036264 2408856 2720346 2782644 3054396 3627128 5440692 5565288 6108792 6724723 10881384 13148339 13449446 20174169 26296678 26898892 30377197 39445017 40348338 52593356 53797784 60754394 78890034 80696676 91131591 105186712 121508788 157780068 161393352 182263182 243017576 315560136 364526364 729052728 880938713 1761877426 2642816139 3523754852 5285632278 7047509704 10571264556 21142529112