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2200011002100 = 2232522444456669
BaseRepresentation
bin100000000000111010110…
…111111101000011110100
321210022121112211111111200
4200000322313331003310
5242021110304031400
64402400542532500
7314642215654122
oct40007267750364
97708545744450
102200011002100
1177902394702a
122b6463297130
1312c5c9c36262
14786a41d6912
153c3623c6b00
hex2003adfd0f4

2200011002100 has 54 divisors (see below), whose sum is σ = 6895812266070. Its totient is φ = 586669600320.

The previous prime is 2200011002099. The next prime is 2200011002153. The reversal of 2200011002100 is 12001100022.

It can be written as a sum of positive squares in 3 ways, for example, as 5500595556 + 2194510406544 = 74166^2 + 1481388^2 .

It is a super-2 number, since 2×22000110021002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1222227435 + ... + 1222229234.

Almost surely, 22200011002100 is an apocalyptic number.

2200011002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200011002100 is an abundant number, since it is smaller than the sum of its proper divisors (4695801263970).

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

2200011002100 is a wasteful number, since it uses less digits than its factorization.

2200011002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444456689 (or 2444456679 counting only the distinct ones).

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

Adding to 2200011002100 its reverse (12001100022), we get a palindrome (2212012102122).

The spelling of 2200011002100 in words is "two trillion, two hundred billion, eleven million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2444456669 4888913338 7333370007 9777826676 12222283345 14666740014 22000110021 24444566690 29333480028 36666850035 44000220042 48889133380 61111416725 73333700070 88000440084 110000550105 122222833450 146667400140 183334250175 220001100210 244445666900 366668500350 440002200420 550002750525 733337000700 1100005501050 2200011002100