Search a number
-
+
153310433031100 = 225243194918293273
BaseRepresentation
bin100010110110111101011101…
…111001101011001110111100
3202002211100000200020222202001
4202312331131321223032330
5130043314231323443400
61302021501324512044
744202212310221332
oct4266753571531674
9662740020228661
10153310433031100
1144938653718994
12152407099ab624
13677115b81cca7
1429c039bcd9b52
1512ace5222aa6a
hex8b6f5de6b3bc

153310433031100 has 72 divisors (see below), whose sum is σ = 340595151296400. Its totient is φ = 59867293678080.

The previous prime is 153310433031083. The next prime is 153310433031137. The reversal of 153310433031100 is 1130334013351.

It is a congruent number.

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, 765937 + ... + 17527336.

It is an arithmetic number, because the mean of its divisors is an integer number (4730488212450).

Almost surely, 2153310433031100 is an apocalyptic number.

153310433031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153310433031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170297575648200).

153310433031100 is an abundant number, since it is smaller than the sum of its proper divisors (187284718265300).

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

153310433031100 is a wasteful number, since it uses less digits than its factorization.

153310433031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18295279 (or 18295272 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 153310433031100 its reverse (1130334013351), we get a palindrome (154440767044451).

The spelling of 153310433031100 in words is "one hundred fifty-three trillion, three hundred ten billion, four hundred thirty-three million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1949 2150 3898 4300 7796 9745 19490 38980 48725 83807 97450 167614 194900 335228 419035 838070 1676140 2095175 4190350 8380700 18293273 36586546 73173092 91466365 182932730 365865460 457331825 786610739 914663650 1573221478 1829327300 3146442956 3933053695 7866107390 15732214780 19665268475 35653589077 39330536950 71307178154 78661073900 142614356308 178267945385 356535890770 713071781540 891339726925 1533104330311 1782679453850 3066208660622 3565358907700 6132417321244 7665521651555 15331043303110 30662086606220 38327608257775 76655216515550 153310433031100