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220210102020000 = 2535473239210361
BaseRepresentation
bin110010000100011110101000…
…111010000010011110100000
31001212200212202122010000222110
4302010132220322002132200
5212330410242104120000
62100203042503035320
764245440420132661
oct6204365072023640
91055625678100873
10220210102020000
11641906417a7744
122084623973bb40
1395b495374c2c1
143c54323881368
151a6d2841aa850
hexc847a8e827a0

220210102020000 has 480 divisors, whose sum is σ = 735295363165440. Its totient is φ = 57675663360000.

The previous prime is 220210102019977. The next prime is 220210102020023. The reversal of 220210102020000 is 20201012022.

It is an interprime number because it is at equal distance from previous prime (220210102019977) and next prime (220210102020023).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1046714820 + ... + 1046925180.

It is an arithmetic number, because the mean of its divisors is an integer number (1531865339928).

Almost surely, 2220210102020000 is an apocalyptic number.

220210102020000 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 220210102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367647681582720).

220210102020000 is an abundant number, since it is smaller than the sum of its proper divisors (515085261145440).

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

220210102020000 is a wasteful number, since it uses less digits than its factorization.

220210102020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210706 (or 210683 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220210102020000 its reverse (20201012022), we get a palindrome (220230303032022).

The spelling of 220210102020000 in words is "two hundred twenty trillion, two hundred ten billion, one hundred two million, twenty thousand".