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3122220100 = 2252236720261
BaseRepresentation
bin1011101000011001…
…0100110001000100
322001121000012210111
42322012110301010
522343242020400
61233452002404
7140241301336
oct27206246104
98047005714
103122220100
11136245919a
12731760404
133a9b07b1c
1421893d456
151341873ba
hexba194c44

3122220100 has 72 divisors (see below), whose sum is σ = 7175665728. Its totient is φ = 1176700800.

The previous prime is 3122220083. The next prime is 3122220113. The reversal of 3122220100 is 10222213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143970 + ... + 164230.

It is an arithmetic number, because the mean of its divisors is an integer number (99662024).

Almost surely, 23122220100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587832864).

3122220100 is an abundant number, since it is smaller than the sum of its proper divisors (4053445628).

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

3122220100 is a wasteful number, since it uses less digits than its factorization.

3122220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3122220100 is about 55876.8297239562. The cubic root of 3122220100 is about 1461.5752217262.

Adding to 3122220100 its reverse (10222213), we get a palindrome (3132442313).

The spelling of 3122220100 in words is "three billion, one hundred twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 67 92 100 115 134 230 268 335 460 575 670 1150 1340 1541 1675 2300 3082 3350 6164 6700 7705 15410 20261 30820 38525 40522 77050 81044 101305 154100 202610 405220 466003 506525 932006 1013050 1357487 1864012 2026100 2330015 2714974 4660030 5429948 6787435 9320060 11650075 13574870 23300150 27149740 31222201 33937175 46600300 62444402 67874350 124888804 135748700 156111005 312222010 624444020 780555025 1561110050 3122220100