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12001010100 = 22352367109001
BaseRepresentation
bin10110010110101000…
…01110000110110100
31010222101000110221120
423023110032012310
5144034224310400
65302503143540
7603252621432
oct131324160664
933871013846
1012001010100
1150a9291572
1223ab144bb0
131193429511
1481bc01d52
154a38beca0
hex2cb50e1b4

12001010100 has 72 divisors (see below), whose sum is σ = 34817854848. Its totient is φ = 3191520000.

The previous prime is 12001010059. The next prime is 12001010149. The reversal of 12001010100 is 101010021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55600 + ... + 164600.

Almost surely, 212001010100 is an apocalyptic number.

12001010100 is a gapful number since it is divisible by the number (10) 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 12001010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408927424).

12001010100 is an abundant number, since it is smaller than the sum of its proper divisors (22816844748).

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

12001010100 is a wasteful number, since it uses less digits than its factorization.

12001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109385 (or 109378 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 12001010100 its reverse (101010021), we get a palindrome (12102020121).

The spelling of 12001010100 in words is "twelve billion, one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 367 734 1101 1468 1835 2202 3670 4404 5505 7340 9175 11010 18350 22020 27525 36700 55050 109001 110100 218002 327003 436004 545005 654006 1090010 1308012 1635015 2180020 2725025 3270030 5450050 6540060 8175075 10900100 16350150 32700300 40003367 80006734 120010101 160013468 200016835 240020202 400033670 480040404 600050505 800067340 1000084175 1200101010 2000168350 2400202020 3000252525 4000336700 6000505050 12001010100