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21142043132 = 22721718893359
BaseRepresentation
bin10011101100001010…
…011111100111111100
32000120102111001220112
4103230022133213330
5321244330340012
613413523205152
71345630254500
oct235412374774
960512431815
1021142043132
118a6a14aa21
1241205167b8
131cbc1890c2
141047c4a300
1583b159122
hex4ec29f9fc

21142043132 has 72 divisors (see below), whose sum is σ = 45608572800. Its totient is φ = 8520830976.

The previous prime is 21142043123. The next prime is 21142043173. The reversal of 21142043132 is 23134024112.

It is a junction number, because it is equal to n+sod(n) for n = 21142043098 and 21142043107.

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, 6292469 + ... + 6295827.

It is an arithmetic number, because the mean of its divisors is an integer number (633452400).

Almost surely, 221142043132 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 21142043132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22804286400).

21142043132 is an abundant number, since it is smaller than the sum of its proper divisors (24466529668).

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

21142043132 is a wasteful number, since it uses less digits than its factorization.

21142043132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21142043132 its reverse (23134024112), we get a palindrome (44276067244).

The spelling of 21142043132 in words is "twenty-one billion, one hundred forty-two million, forty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 1889 3332 3359 3778 6718 7556 13223 13436 23513 26446 32113 47026 52892 57103 64226 92561 94052 114206 128452 164591 185122 224791 228412 329182 370244 399721 449582 658364 799442 899164 1573537 1598884 2798047 3147074 5596094 6294148 6345151 11192188 12690302 25380604 44416057 88832114 107867567 177664228 215735134 310912399 431470268 621824798 755072969 1243649596 1510145938 3020291876 5285510783 10571021566 21142043132