Search a number
-
+
100301013012 = 223127604310891
BaseRepresentation
bin101110101101001101…
…0000000000000010100
3100120220011001101110210
41131122122000000110
53120404024404022
6114024434445420
710150360354314
oct1353232000024
9316804041423
10100301013012
11395a0341692
1217532733870
1395c5ca3655
144bd7019444
152920898a0c
hex175a680014

100301013012 has 48 divisors (see below), whose sum is σ = 235939192832. Its totient is φ = 33161879520.

The previous prime is 100301012963. The next prime is 100301013017. The reversal of 100301013012 is 210310103001.

It is a super-2 number, since 2×1003010130122 (a number of 23 digits) contains 22 as substring.

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 (100301013017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9204087 + ... + 9214977.

Almost surely, 2100301013012 is an apocalyptic number.

100301013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100301013012 is an abundant number, since it is smaller than the sum of its proper divisors (135638179820).

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

100301013012 is a wasteful number, since it uses less digits than its factorization.

100301013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17068 (or 17066 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100301013012 its reverse (210310103001), we get a palindrome (310611116013).

The spelling of 100301013012 in words is "one hundred billion, three hundred one million, thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 127 254 381 508 762 1524 6043 10891 12086 18129 21782 24172 32673 36258 43564 65346 72516 130692 767461 1383157 1534922 2302383 2766314 3069844 4149471 4604766 5532628 8298942 9209532 16597884 65814313 131628626 197442939 263257252 394885878 789771756 8358417751 16716835502 25075253253 33433671004 50150506506 100301013012