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3121131300 = 2235273740169
BaseRepresentation
bin1011101000001000…
…1010111100100100
322001111221220020120
42322002022330210
522343002200200
61233412401540
7140226115110
oct27202127444
98044856216
103121131300
111361885161
127313162b0
133a9816371
14218738740
1513401e9a0
hexba08af24

3121131300 has 144 divisors (see below), whose sum is σ = 10599738240. Its totient is φ = 694103040.

The previous prime is 3121131271. The next prime is 3121131301. The reversal of 3121131300 is 31311213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3121131300.

It is not an unprimeable number, because it can be changed into a prime (3121131301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57616 + ... + 97784.

Almost surely, 23121131300 is an apocalyptic number.

3121131300 is a gapful number since it is divisible by the number (30) 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 3121131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299869120).

3121131300 is an abundant number, since it is smaller than the sum of its proper divisors (7478606940).

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

3121131300 is a wasteful number, since it uses less digits than its factorization.

3121131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40230 (or 40223 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3121131300 is about 55867.0860167237. The cubic root of 3121131300 is about 1461.4053054412.

Adding to 3121131300 its reverse (31311213), we get a palindrome (3152442513).

It can be divided in two parts, 3121 and 131300, that added together give a triangular number (134421 = T518).

The spelling of 3121131300 in words is "three billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 2100 2220 2590 2775 3108 3700 3885 5180 5550 6475 7770 11100 12950 15540 19425 25900 38850 40169 77700 80338 120507 160676 200845 241014 281183 401690 482028 562366 602535 803380 843549 1004225 1124732 1205070 1405915 1486253 1687098 2008450 2410140 2811830 2972506 3012675 3374196 4016900 4217745 4458759 5623660 5945012 6025350 7029575 7431265 8435490 8917518 10403771 12050700 14059150 14862530 16870980 17835036 20807542 21088725 22293795 28118300 29725060 31211313 37156325 41615084 42177450 44587590 52018855 62422626 74312650 84354900 89175180 104037710 111468975 124845252 148625300 156056565 208075420 222937950 260094275 312113130 445875900 520188550 624226260 780282825 1040377100 1560565650 3121131300