Search a number
-
+
2331110100 = 22352113122787
BaseRepresentation
bin1000101011110001…
…1110101011010100
320000110101122220010
42022330132223110
514233231010400
61023151440220
7111524052234
oct21274365324
96013348803
102331110100
11a9693a580
12550826070
132b1c484b7
14181849cc4
15d99b9450
hex8af1ead4

2331110100 has 144 divisors (see below), whose sum is σ = 7595513856. Its totient is φ = 546864000.

The previous prime is 2331110087. The next prime is 2331110123. The reversal of 2331110100 is 10111332.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 90907 + ... + 113693.

It is an arithmetic number, because the mean of its divisors is an integer number (52746624).

Almost surely, 22331110100 is an apocalyptic number.

2331110100 is a gapful number since it is divisible by the number (20) 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 2331110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797756928).

2331110100 is an abundant number, since it is smaller than the sum of its proper divisors (5264403756).

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

2331110100 is a wasteful number, since it uses less digits than its factorization.

2331110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22846 (or 22839 counting only the distinct ones).

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

The square root of 2331110100 is about 48281.5710183503. The cubic root of 2331110100 is about 1325.9310129294.

Adding to 2331110100 its reverse (10111332), we get a palindrome (2341221432).

It can be divided in two parts, 23311 and 10100, that added together give a triangular number (33411 = T258).

The spelling of 2331110100 in words is "two billion, three hundred thirty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 22787 25575 34100 45574 51150 68361 91148 102300 113935 136722 227870 250657 273444 341805 455740 501314 569675 683610 706397 751971 1002628 1139350 1253285 1367220 1412794 1503942 1709025 2119191 2278700 2506570 2825588 3007884 3418050 3531985 3759855 4238382 5013140 6266425 6836100 7063970 7519710 7770367 8476764 10595955 12532850 14127940 15039420 15540734 17659925 18799275 21191910 23311101 25065700 31081468 35319850 37598550 38851835 42383820 46622202 52979775 70639700 75197100 77703670 93244404 105959550 116555505 155407340 194259175 211919100 233111010 388518350 466222020 582777525 777036700 1165555050 2331110100