Search a number
-
+
100311213408 = 2537149272639
BaseRepresentation
bin101110101101100000…
…0111010010101100000
3100120220212020121210020
41131123000322111200
53120414132312113
6114025441233440
710150543150140
oct1353300722540
9316825217706
10100311213408
11395a607936a
1217536032880
1395c81354a3
144bd8512920
152921711023
hex175b03a560

100311213408 has 48 divisors (see below), whose sum is σ = 300933642240. Its totient is φ = 28660346496.

The previous prime is 100311213407. The next prime is 100311213427. The reversal of 100311213408 is 804312113001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311213407) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 74635648 + ... + 74636991.

It is an arithmetic number, because the mean of its divisors is an integer number (6269450880).

Almost surely, 2100311213408 is an apocalyptic number.

It is an amenable number.

100311213408 is an abundant number, since it is smaller than the sum of its proper divisors (200622428832).

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

100311213408 is a wasteful number, since it uses less digits than its factorization.

100311213408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149272659 (or 149272651 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 100311213408 its reverse (804312113001), we get a palindrome (904623326409).

The spelling of 100311213408 in words is "one hundred billion, three hundred eleven million, two hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 149272639 298545278 447817917 597090556 895635834 1044908473 1194181112 1791271668 2089816946 2388362224 3134725419 3582543336 4179633892 4776724448 6269450838 7165086672 8359267784 12538901676 14330173344 16718535568 25077803352 33437071136 50155606704 100311213408