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1220032100 = 225271742903
BaseRepresentation
bin100100010111000…
…0011011001100100
310011000201001102002
41020232003121210
54444312011400
6321021304432
742143046620
oct11056033144
93130631362
101220032100
115767491a1
122a0705118
131659b93b1
14b8066180
1572195ed5
hex48b83664

1220032100 has 36 divisors (see below), whose sum is σ = 3025681344. Its totient is φ = 418296480.

The previous prime is 1220032091. The next prime is 1220032109. The reversal of 1220032100 is 12300221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1220032091) and next prime (1220032109).

It is not an unprimeable number, because it can be changed into a prime (1220032109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 870752 + ... + 872151.

It is an arithmetic number, because the mean of its divisors is an integer number (84046704).

Almost surely, 21220032100 is an apocalyptic number.

1220032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220032100 is an abundant number, since it is smaller than the sum of its proper divisors (1805649244).

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

1220032100 is a wasteful number, since it uses less digits than its factorization.

1220032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742924 (or 1742917 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1220032100 is about 34928.9579002867. The cubic root of 1220032100 is about 1068.5391015979.

Adding to 1220032100 its reverse (12300221), we get a palindrome (1232332321).

The spelling of 1220032100 in words is "one billion, two hundred twenty million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1742903 3485806 6971612 8714515 12200321 17429030 24400642 34858060 43572575 48801284 61001605 87145150 122003210 174290300 244006420 305008025 610016050 1220032100