Search a number
-
+
332103330110300 = 2252711338921107873
BaseRepresentation
bin100101110000010111101010…
…1000001010001101101011100
31121112212202202002022200002112
41023200233111001101231130
5322012140110002012200
63134154055203213152
7126644450054133260
oct11340572501215534
91545782662280075
10332103330110300
119690025aa27631
12312b7a253771b8
13113402957b0418
145c01c5baaa0a0
15285db82d9e535
hex12e0bd5051b5c

332103330110300 has 144 divisors (see below), whose sum is σ = 830933949448512. Its totient is φ = 112852407091200.

The previous prime is 332103330110273. The next prime is 332103330110327. The reversal of 332103330110300 is 3011033301233.

It is an interprime number because it is at equal distance from previous prime (332103330110273) and next prime (332103330110327).

It is a super-2 number, since 2×3321033301103002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3078597164 + ... + 3078705036.

It is an arithmetic number, because the mean of its divisors is an integer number (5770374648948).

Almost surely, 2332103330110300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332103330110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415466974724256).

332103330110300 is an abundant number, since it is smaller than the sum of its proper divisors (498830619338212).

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

332103330110300 is a wasteful number, since it uses less digits than its factorization.

332103330110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146928 (or 146921 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 332103330110300 its reverse (3011033301233), we get a palindrome (335114363411533).

The spelling of 332103330110300 in words is "three hundred thirty-two trillion, one hundred three billion, three hundred thirty million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 113 140 175 226 350 452 565 700 791 1130 1582 2260 2825 3164 3955 5650 7910 11300 15820 19775 38921 39550 77842 79100 107873 155684 194605 215746 272447 389210 431492 539365 544894 755111 778420 973025 1078730 1089788 1362235 1510222 1946050 2157460 2696825 2724470 3020444 3775555 3892100 4398073 5393650 5448940 6811175 7551110 8796146 10787300 12189649 13622350 15102220 17592292 18877775 21990365 24379298 27244700 30786511 37755550 43980730 48758596 60948245 61573022 75511100 85327543 87961460 109951825 121896490 123146044 153932555 170655086 219903650 243792980 304741225 307865110 341310172 426637715 439807300 609482450 615730220 769662775 853275430 1218964900 1539325550 1706550860 2133188575 3078651100 4198525033 4266377150 8397050066 8532754300 16794100132 20992625165 29389675231 41985250330 58779350462 83970500660 104963125825 117558700924 146948376155 209926251650 293896752310 419852503300 474433328729 587793504620 734741880775 948866657458 1469483761550 1897733314916 2372166643645 2938967523100 3321033301103 4744333287290 6642066602206 9488666574580 11860833218225 13284133204412 16605166505515 23721666436450 33210333011030 47443332872900 66420666022060 83025832527575 166051665055150 332103330110300