Search a number
-
+
100003214100 = 223521741191467
BaseRepresentation
bin101110100100010100…
…1111111001100010100
3100120010101200122011110
41131020221333030110
53114301310322400
6113535115535020
710140113203026
oct1351051771424
9316111618143
10100003214100
1139458230989
121746aa5a470
13957939668a
144ba965a016
152904671e50
hex1748a7f314

100003214100 has 72 divisors (see below), whose sum is σ = 289510338208. Its totient is φ = 26652067200.

The previous prime is 100003214029. The next prime is 100003214107. The reversal of 100003214100 is 1412300001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003214107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426567 + ... + 618033.

Almost surely, 2100003214100 is an apocalyptic number.

100003214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100003214100 is an abundant number, since it is smaller than the sum of its proper divisors (189507124108).

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

100003214100 is a wasteful number, since it uses less digits than its factorization.

100003214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193225 (or 193218 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100003214100 its reverse (1412300001), we get a palindrome (101415514101).

The spelling of 100003214100 in words is "one hundred billion, three million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1741 3482 5223 6964 8705 10446 17410 20892 26115 34820 43525 52230 87050 104460 130575 174100 191467 261150 382934 522300 574401 765868 957335 1148802 1914670 2297604 2872005 3829340 4786675 5744010 9573350 11488020 14360025 19146700 28720050 57440100 333344047 666688094 1000032141 1333376188 1666720235 2000064282 3333440470 4000128564 5000160705 6666880940 8333601175 10000321410 16667202350 20000642820 25000803525 33334404700 50001607050 100003214100