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1220030100 = 22355250207
BaseRepresentation
bin100100010111000…
…0010111010010100
310011000200221200000
41020232002322110
54444311430400
6321021251300
742143041032
oct11056027224
93130627600
101220030100
11576747743
122a0703b30
131659b8503
14b8065552
1572195600
hex48b82e94

1220030100 has 108 divisors (see below), whose sum is σ = 3965829504. Its totient is φ = 325334880.

The previous prime is 1220030083. The next prime is 1220030111. The reversal of 1220030100 is 10300221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 804 + ... + 49403.

Almost surely, 21220030100 is an apocalyptic number.

1220030100 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 1220030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982914752).

1220030100 is an abundant number, since it is smaller than the sum of its proper divisors (2745799404).

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

1220030100 is a wasteful number, since it uses less digits than its factorization.

1220030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50236 (or 50217 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1220030100 is about 34928.9292707349. The cubic root of 1220030100 is about 1068.5385177118.

Adding to 1220030100 its reverse (10300221), we get a palindrome (1230330321).

The spelling of 1220030100 in words is "one billion, two hundred twenty million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 50207 100414 150621 200828 251035 301242 451863 502070 602484 753105 903726 1004140 1255175 1355589 1506210 1807452 2259315 2510350 2711178 3012420 3765525 4066767 4518630 5020700 5422356 6777945 7531050 8133534 9037260 11296575 12200301 13555890 15062100 16267068 20333835 22593150 24400602 27111780 33889725 40667670 45186300 48801204 61001505 67779450 81335340 101669175 122003010 135558900 203338350 244006020 305007525 406676700 610015050 1220030100