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21380156200 = 23521323371877
BaseRepresentation
bin10011111010010110…
…110100101100101000
32001012000112110122001
4103322112310230220
5322241304444300
613453310540344
71354551220624
oct237226645450
961160473561
1021380156200
1190815a4887
1241882076b4
1320295c9100
14106b710184
15851ee116a
hex4fa5b4b28

21380156200 has 144 divisors (see below), whose sum is σ = 54015242580. Its totient is φ = 7866593280.

The previous prime is 21380156197. The next prime is 21380156263. The reversal of 21380156200 is 265108312.

It can be written as a sum of positive squares in 18 ways, for example, as 6589218276 + 14790937924 = 81174^2 + 121618^2 .

It is a super-2 number, since 2×213801562002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11389662 + ... + 11391538.

Almost surely, 221380156200 is an apocalyptic number.

21380156200 is a gapful number since it is divisible by the number (20) 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 21380156200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007621290).

21380156200 is an abundant number, since it is smaller than the sum of its proper divisors (32635086380).

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

21380156200 is a wasteful number, since it uses less digits than its factorization.

21380156200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 21380156200 in words is "twenty-one billion, three hundred eighty million, one hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 337 338 520 650 674 676 845 1300 1348 1352 1685 1690 1877 2600 2696 3370 3380 3754 4225 4381 6740 6760 7508 8425 8450 8762 9385 13480 15016 16850 16900 17524 18770 21905 24401 33700 33800 35048 37540 43810 46925 48802 56953 67400 75080 87620 93850 97604 109525 113906 122005 175240 187700 195208 219050 227812 244010 284765 317213 375400 438100 455624 488020 569530 610025 632549 634426 876200 976040 1139060 1220050 1265098 1268852 1423825 1586065 2278120 2440100 2530196 2537704 2847650 3162745 3172130 4880200 5060392 5695300 6325490 6344260 7930325 8223137 11390600 12650980 12688520 15813725 15860650 16446274 25301960 31627450 31721300 32892548 41115685 63254900 63442600 65785096 82231370 106900781 126509800 164462740 205578425 213801562 328925480 411156850 427603124 534503905 822313700 855206248 1069007810 1644627400 2138015620 2672519525 4276031240 5345039050 10690078100 21380156200