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221023032023300 = 2252131710001042173
BaseRepresentation
bin110010010000010011101111…
…010011111001100100000100
31001222120121002010100000000012
4302100103233103321210010
5212432220132144221200
62102024325034205352
764361246530141433
oct6220235723714404
91058517063300005
10221023032023300
1164474383578281
12209578b2283858
1396434c84304b0
143c8180115111a
151a844b26c4a35
hexc904ef4f9904

221023032023300 has 72 divisors (see below), whose sum is σ = 546896990243016. Its totient is φ = 76808003880960.

The previous prime is 221023032023279. The next prime is 221023032023309. The reversal of 221023032023300 is 3320230320122.

It can be written as a sum of positive squares in 12 ways, for example, as 10047581323264 + 210975450700036 = 3169792^2 + 14524994^2 .

It is not an unprimeable number, because it can be changed into a prime (221023032023309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5000498987 + ... + 5000543186.

It is an arithmetic number, because the mean of its divisors is an integer number (7595791531153).

Almost surely, 2221023032023300 is an apocalyptic number.

221023032023300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221023032023300 is an abundant number, since it is smaller than the sum of its proper divisors (325873958219716).

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

221023032023300 is a wasteful number, since it uses less digits than its factorization.

221023032023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001042217 (or 10001042210 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 221023032023300 its reverse (3320230320122), we get a palindrome (224343262343422).

The spelling of 221023032023300 in words is "two hundred twenty-one trillion, twenty-three billion, thirty-two million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 10001042173 20002084346 40004168692 50005210865 100010421730 130013548249 170017716941 200020843460 250026054325 260027096498 340035433882 500052108650 520054192996 650067741245 680070867764 850088584705 1000104217300 1300135482490 1700177169410 2210230320233 2600270964980 3250338706225 3400354338820 4250442923525 4420460640466 6500677412450 8500885847050 8840921280932 11051151601165 13001354824900 17001771694100 22102303202330 44204606404660 55255758005825 110511516011650 221023032023300