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2131221300 = 2235213546467
BaseRepresentation
bin111111100000111…
…1101101100110100
312111112021021000020
41333001331230310
513331043040200
6551251245140
7103546040115
oct17701755464
95445237006
102131221300
119a402311a
124b58a97b0
1327c6cc9c0
1416309620c
15c7182ea0
hex7f07db34

2131221300 has 72 divisors (see below), whose sum is σ = 6640679136. Its totient is φ = 524607360.

The previous prime is 2131221283. The next prime is 2131221359. The reversal of 2131221300 is 31221312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131221300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269334 + ... + 277133.

Almost surely, 22131221300 is an apocalyptic number.

2131221300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131221300 is an abundant number, since it is smaller than the sum of its proper divisors (4509457836).

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

2131221300 is a wasteful number, since it uses less digits than its factorization.

2131221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546497 (or 546490 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2131221300 is about 46165.1524420747. The cubic root of 2131221300 is about 1286.8942171695.

Adding to 2131221300 its reverse (31221312), we get a palindrome (2162442612).

The spelling of 2131221300 in words is "two billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 546467 1092934 1639401 2185868 2732335 3278802 5464670 6557604 7104071 8197005 10929340 13661675 14208142 16394010 21312213 27323350 28416284 32788020 35520355 40985025 42624426 54646700 71040710 81970050 85248852 106561065 142081420 163940100 177601775 213122130 355203550 426244260 532805325 710407100 1065610650 2131221300