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100001212212 = 223111017500841
BaseRepresentation
bin101110100100010001…
…0010110011100110100
3100120010020220221002110
41131020202112130310
53114300302242322
6113535005011020
710140060164436
oct1351042263464
9316106827073
10100001212212
1139457093930
121746a253a70
139578b45425
144ba9298656
1529043c8c0c
hex1748896734

100001212212 has 48 divisors (see below), whose sum is σ = 257068857024. Its totient is φ = 30003360000.

The previous prime is 100001212183. The next prime is 100001212217. The reversal of 100001212212 is 212212100001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001212217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3737089 + ... + 3763752.

It is an arithmetic number, because the mean of its divisors is an integer number (5355601188).

Almost surely, 2100001212212 is an apocalyptic number.

100001212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100001212212 is an abundant number, since it is smaller than the sum of its proper divisors (157067644812).

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

100001212212 is a wasteful number, since it uses less digits than its factorization.

100001212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500960 (or 7500958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100001212212 its reverse (212212100001), we get a palindrome (312213312213).

It can be divided in two parts, 100001 and 212212, that multiplied together give a palindrome (21221412212).

The spelling of 100001212212 in words is "one hundred billion, one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 7500841 15001682 22502523 30003364 45005046 82509251 90010092 165018502 247527753 330037004 495055506 757584941 990111012 1515169882 2272754823 3030339764 4545509646 8333434351 9091019292 16666868702 25000303053 33333737404 50000606106 100001212212