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12100220001 = 323729912
BaseRepresentation
bin10110100010011101…
…01011010001100001
31011020021200212100100
423101032223101201
5144240124020001
65320405413013
7605566113222
oct132116532141
934207625310
1012100220001
11514a293421
12241840a169
1311aab544bc
1482b069249
154ac46a586
hex2d13ab461

12100220001 has 27 divisors (see below), whose sum is σ = 17981388243. Its totient is φ = 7840871280.

The previous prime is 12100219981. The next prime is 12100220017. The reversal of 12100220001 is 10002200121.

The square root of 12100220001 is 110001.

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

It can be written as a sum of positive squares in only one way, i.e., 10827443025 + 1272776976 = 104055^2 + 35676^2 .

It is not a de Polignac number, because 12100220001 - 221 = 12098122849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12100220051) 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, 12209616 + ... + 12210606.

Almost surely, 212100220001 is an apocalyptic number.

12100220001 is the 110001-st square number.

12100220001 is the 55001-st centered octagonal number.

It is an amenable number.

12100220001 is a deficient number, since it is larger than the sum of its proper divisors (5881168242).

12100220001 is an frugal number, since it uses more digits than its factorization.

12100220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100220001 its reverse (10002200121), we get a palindrome (22102420122).

The spelling of 12100220001 in words is "twelve billion, one hundred million, two hundred twenty thousand, one".

Divisors: 1 3 9 37 111 333 991 1369 2973 4107 8919 12321 36667 110001 330003 982081 1356679 2946243 4070037 8838729 12210111 36336997 109010991 327032973 1344468889 4033406667 12100220001