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6230565132100 = 2252172146832
BaseRepresentation
bin101101010101010101010…
…0111110001011101000100
3211001122011210111211021021
41122222222213301131010
51304040144133211400
621130140534000524
71212100132541401
oct132525247613504
924048153454237
106230565132100
111a9240564a801
128476377a6144
13362702b5204a
141777bd3c72a8
15ac11096771a
hex5aaaa9f1744

6230565132100 has 81 divisors (see below), whose sum is σ = 14363401020087. Its totient is φ = 2345464769280.

The previous prime is 6230565132089. The next prime is 6230565132101. The reversal of 6230565132100 is 12315650326.

The square root of 6230565132100 is 2496110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 145739170564 + 6084825961536 = 381758^2 + 2466744^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6230565132101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 424331359 + ... + 424346041.

Almost surely, 26230565132100 is an apocalyptic number.

6230565132100 is the 2496110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6230565132100

6230565132100 is an abundant number, since it is smaller than the sum of its proper divisors (8132835887987).

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

6230565132100 is an equidigital number, since it uses as much as digits as its factorization.

6230565132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29414 (or 14707 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 6230565132100 in words is "six trillion, two hundred thirty billion, five hundred sixty-five million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 14683 28900 29366 58732 73415 146830 249611 293660 367075 499222 734150 998444 1248055 1468300 2496110 4243387 4992220 6240275 8486774 12480550 16973548 21216935 24961100 42433870 84867740 106084675 212169350 215590489 424338700 431180978 862361956 1077952445 2155904890 3665038313 4311809780 5389762225 7330076626 10779524450 14660153252 18325191565 21559048900 36650383130 62305651321 73300766260 91625957825 124611302642 183251915650 249222605284 311528256605 366503831300 623056513210 1246113026420 1557641283025 3115282566050 6230565132100