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101222220 = 2235111031489
BaseRepresentation
bin1100000100010…
…00011101001100
321001110121210010
412002020131030
5201403102340
614013313220
72336242341
oct602103514
9231417703
10101222220
1152156830
1229a95810
1317c80c08
14d62c7c8
158d46b80
hex608874c

101222220 has 96 divisors (see below), whose sum is σ = 312399360. Its totient is φ = 24284160.

The previous prime is 101222213. The next prime is 101222227. The reversal of 101222220 is 22222101.

It is an interprime number because it is at equal distance from previous prime (101222213) and next prime (101222227).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101222196 and 101222205.

It is not an unprimeable number, because it can be changed into a prime (101222227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67236 + ... + 68724.

It is an arithmetic number, because the mean of its divisors is an integer number (3254160).

Almost surely, 2101222220 is an apocalyptic number.

101222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156199680).

101222220 is an abundant number, since it is smaller than the sum of its proper divisors (211177140).

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

101222220 is a wasteful number, since it uses less digits than its factorization.

101222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101222220 is about 10060.9254047528. The cubic root of 101222220 is about 466.0422453673.

Adding to 101222220 its reverse (22222101), we get a palindrome (123444321).

It can be divided in two parts, 1012 and 22220, that added together give a palindrome (23232).

The spelling of 101222220 in words is "one hundred one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1133 1236 1489 1545 2060 2266 2978 3090 3399 4467 4532 5665 5956 6180 6798 7445 8934 11330 13596 14890 16379 16995 17868 22335 22660 29780 32758 33990 44670 49137 65516 67980 81895 89340 98274 153367 163790 196548 245685 306734 327580 460101 491370 613468 766835 920202 982740 1533670 1687037 1840404 2300505 3067340 3374074 4601010 5061111 6748148 8435185 9202020 10122222 16870370 20244444 25305555 33740740 50611110 101222220