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100240201412 = 22131727391373
BaseRepresentation
bin101110101011011001…
…0000001011011000100
3100120201220121211122022
41131112302001123010
53120242442421122
6114014423222312
710146021440111
oct1352662013304
9316656554568
10100240201412
1139569a86a6a
12175162a7998
1395b6501160
144bccd09908
15291a385642
hex1756c816c4

100240201412 has 72 divisors (see below), whose sum is σ = 203431784136. Its totient is φ = 42946301952.

The previous prime is 100240201393. The next prime is 100240201427. The reversal of 100240201412 is 214102042001.

It can be written as a sum of positive squares in 12 ways, for example, as 828633796 + 99411567616 = 28786^2 + 315296^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051358 + ... + 1142730.

Almost surely, 2100240201412 is an apocalyptic number.

It is an amenable number.

100240201412 is an abundant number, since it is smaller than the sum of its proper divisors (103191582724).

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

100240201412 is a wasteful number, since it uses less digits than its factorization.

100240201412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91497 (or 91478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100240201412 its reverse (214102042001), we get a palindrome (314342243413).

The spelling of 100240201412 in words is "one hundred billion, two hundred forty million, two hundred one thousand, four hundred twelve".

Divisors: 1 2 4 13 17 26 34 52 68 73 146 221 289 292 442 578 884 949 1156 1241 1898 2482 3757 3796 4964 7514 15028 16133 21097 32266 42194 64532 84388 91373 182746 274261 365492 548522 1097044 1187849 1553341 2375698 3106682 4751396 6213364 6670229 13340458 20193433 26406797 26680916 40386866 52813594 80773732 86712977 105627188 113393893 173425954 226787786 343288361 346851908 453575572 686576722 1373153444 1474120609 1927696181 2948241218 3855392362 5896482436 7710784724 25060050353 50120100706 100240201412