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101002220200 = 23527210306349
BaseRepresentation
bin101111000010000110…
…0111001001010101000
3100122201000111101220101
41132010030321022220
53123323032021300
6114222204035144
710203633464200
oct1360414711250
9318630441811
10101002220200
1139920135a62
12176a9532ab4
1396a834634b
144c621c9400
152962208b6a
hex17843392a8

101002220200 has 72 divisors (see below), whose sum is σ = 273169806750. Its totient is φ = 34629329280.

The previous prime is 101002220197. The next prime is 101002220201. The reversal of 101002220200 is 2022200101.

It can be written as a sum of positive squares in 3 ways, for example, as 74139665796 + 26862554404 = 272286^2 + 163898^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101002220201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5143375 + ... + 5162974.

Almost surely, 2101002220200 is an apocalyptic number.

101002220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002220200 is an abundant number, since it is smaller than the sum of its proper divisors (172167586550).

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

101002220200 is a wasteful number, since it uses less digits than its factorization.

101002220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306379 (or 10306363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 101002220200 its reverse (2022200101), we get a palindrome (103024420301).

The spelling of 101002220200 in words is "one hundred one billion, two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 10306349 20612698 41225396 51531745 72144443 82450792 103063490 144288886 206126980 257658725 288577772 360722215 412253960 505011101 515317450 577155544 721444430 1010022202 1030634900 1442888860 1803611075 2020044404 2061269800 2525055505 2885777720 3607222150 4040088808 5050111010 7214444300 10100222020 12625277525 14428888600 20200444040 25250555050 50501110100 101002220200