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412242004100 = 2252191157913669
BaseRepresentation
bin1011111111110111000…
…10011100100010000100
31110102001212001121120002
411333323202130202010
523223232423112400
6513214212500432
741532512135033
oct5777342344204
91412055047502
10412242004100
11149915956263
1267a8b01a718
132cb49975c54
1415d49db871a
15aacb51ded5
hex5ffb89c884

412242004100 has 72 divisors (see below), whose sum is σ = 899884070400. Its totient is φ = 163917590400.

The previous prime is 412242004087. The next prime is 412242004127. The reversal of 412242004100 is 1400242214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30152066 + ... + 30165734.

Almost surely, 2412242004100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412242004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449942035200).

412242004100 is an abundant number, since it is smaller than the sum of its proper divisors (487642066300).

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

412242004100 is a wasteful number, since it uses less digits than its factorization.

412242004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15453 (or 15446 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 412242004100 its reverse (1400242214), we get a palindrome (413642246314).

The spelling of 412242004100 in words is "four hundred twelve billion, two hundred forty-two million, four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1579 1910 3158 3820 4775 6316 7895 9550 13669 15790 19100 27338 31580 39475 54676 68345 78950 136690 157900 273380 301589 341725 603178 683450 1206356 1366900 1507945 2610779 3015890 5221558 6031780 7539725 10443116 13053895 15079450 21583351 26107790 30158900 43166702 52215580 65269475 86333404 107916755 130538950 215833510 261077900 431667020 539583775 1079167550 2158335100 4122420041 8244840082 16489680164 20612100205 41224200410 82448400820 103060501025 206121002050 412242004100