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3123402100 = 2252721349033
BaseRepresentation
bin1011101000101011…
…0101010101110100
322001200020021012021
42322022311111310
522344042331400
61233533202524
7140254323400
oct27212652564
98050207167
103123402100
111363096255
12732030444
133aa12cb30
14218b6a100
1513431c71a
hexba2b5574

3123402100 has 108 divisors (see below), whose sum is σ = 8491021644. Its totient is φ = 988485120.

The previous prime is 3123402097. The next prime is 3123402127. The reversal of 3123402100 is 12043213.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 721029904 + 2402372196 = 26852^2 + 49014^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 39184 + ... + 88216.

Almost surely, 23123402100 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 3123402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245510822).

3123402100 is an abundant number, since it is smaller than the sum of its proper divisors (5367619544).

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

3123402100 is a wasteful number, since it uses less digits than its factorization.

3123402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49074 (or 49060 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3123402100 is about 55887.4055579609. The cubic root of 3123402100 is about 1461.7596379316.

Adding to 3123402100 its reverse (12043213), we get a palindrome (3135445313).

The spelling of 3123402100 in words is "three billion, one hundred twenty-three million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 49033 63700 98066 196132 245165 343231 490330 637429 686462 980660 1225825 1274858 1372924 1716155 2402617 2451650 2549716 3187145 3432310 4462003 4805234 4903300 6374290 6864620 8580775 8924006 9610468 12013085 12748580 15935725 17161550 17848012 22310015 24026170 31234021 31871450 34323100 44620030 48052340 60065425 62468042 63742900 89240060 111550075 120130850 124936084 156170105 223100150 240261700 312340210 446200300 624680420 780850525 1561701050 3123402100