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1220020100 = 225213947991
BaseRepresentation
bin100100010111000…
…0000011110000100
310011000200102221122
41020232000132010
54444311120400
6321021133112
742142666625
oct11056003604
93130612848
101220020100
11576740182
122a06ba198
131659b3ab0
14b8061a4c
1572192685
hex48b80784

1220020100 has 72 divisors (see below), whose sum is σ = 2856983808. Its totient is φ = 449539200.

The previous prime is 1220020093. The next prime is 1220020121. The reversal of 1220020100 is 10200221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230605 + ... + 1231595.

Almost surely, 21220020100 is an apocalyptic number.

1220020100 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 1220020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428491904).

1220020100 is an abundant number, since it is smaller than the sum of its proper divisors (1636963708).

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

1220020100 is a wasteful number, since it uses less digits than its factorization.

1220020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1220020100 is about 34928.7861226238. The cubic root of 1220020100 is about 1068.5355982717.

Adding to 1220020100 its reverse (10200221), we get a palindrome (1230220321).

The spelling of 1220020100 in words is "one billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 947 991 1300 1894 1982 3788 3964 4735 4955 9470 9910 12311 12883 18940 19820 23675 24622 24775 25766 47350 49244 49550 51532 61555 64415 94700 99100 123110 128830 246220 257660 307775 322075 615550 644150 938477 1231100 1288300 1876954 3753908 4692385 9384770 12200201 18769540 23461925 24400402 46923850 48800804 61001005 93847700 122002010 244004020 305005025 610010050 1220020100