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210101310100 = 2252111006718973
BaseRepresentation
bin1100001110101100000…
…0111001001010010100
3202002022022200101221201
43003223000321022110
511420241413410400
6240304052122244
721115335445453
oct3035300711224
9662268611851
10210101310100
1181115791a70
1234876606384
1316a73cbb546
14a251896b9a
1556ea19506a
hex30eb039294

210101310100 has 72 divisors (see below), whose sum is σ = 497442724128. Its totient is φ = 76388860800.

The previous prime is 210101310019. The next prime is 210101310109. The reversal of 210101310100 is 1013101012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210101310109) 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, 11064214 + ... + 11083186.

It is an arithmetic number, because the mean of its divisors is an integer number (6908926724).

Almost surely, 2210101310100 is an apocalyptic number.

210101310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210101310100 is an abundant number, since it is smaller than the sum of its proper divisors (287341414028).

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

210101310100 is a wasteful number, since it uses less digits than its factorization.

210101310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29065 (or 29058 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 210101310100 its reverse (1013101012), we get a palindrome (211114411112).

The spelling of 210101310100 in words is "two hundred ten billion, one hundred one million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 10067 18973 20134 37946 40268 50335 75892 94865 100670 110737 189730 201340 208703 221474 251675 379460 417406 442948 474325 503350 553685 834812 948650 1006700 1043515 1107370 1897300 2087030 2214740 2768425 4174060 5217575 5536850 10435150 11073700 20870300 191001191 382002382 764004764 955005955 1910011910 2101013101 3820023820 4202026202 4775029775 8404052404 9550059550 10505065505 19100119100 21010131010 42020262020 52525327525 105050655050 210101310100