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31300002300 = 22352755726759
BaseRepresentation
bin11101001001101000…
…000010000111111100
32222210100110212021110
4131021220002013330
51003100300033200
622213511402020
72155433426010
oct351150020774
988710425243
1031300002300
1112302042aa6
126096383310
132c4a801128
14172cd6a540
15c32d19b50
hex749a021fc

31300002300 has 144 divisors (see below), whose sum is σ = 103688363520. Its totient is φ = 7141175040.

The previous prime is 31300002299. The next prime is 31300002329. The reversal of 31300002300 is 320000313.

It is a happy number.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156321 + ... + 1183079.

It is an arithmetic number, because the mean of its divisors is an integer number (720058080).

Almost surely, 231300002300 is an apocalyptic number.

31300002300 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 31300002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51844181760).

31300002300 is an abundant number, since it is smaller than the sum of its proper divisors (72388361220).

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

31300002300 is a wasteful number, since it uses less digits than its factorization.

31300002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27340 (or 27333 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 31300002300 its reverse (320000313), we get a palindrome (31620002613).

The spelling of 31300002300 in words is "thirty-one billion, three hundred million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 557 700 1050 1114 1671 2100 2228 2785 3342 3899 5570 6684 7798 8355 11140 11697 13925 15596 16710 19495 23394 26759 27850 33420 38990 41775 46788 53518 55700 58485 77980 80277 83550 97475 107036 116970 133795 160554 167100 187313 194950 233940 267590 292425 321108 374626 389900 401385 535180 561939 584850 668975 749252 802770 936565 1123878 1169700 1337950 1605540 1873130 2006925 2247756 2675900 2809695 3746260 4013850 4682825 5619390 8027700 9365650 11238780 14048475 14904763 18731300 28096950 29809526 44714289 56193900 59619052 74523815 89428578 104333341 149047630 178857156 208666682 223571445 298095260 313000023 372619075 417333364 447142890 521666705 626000046 745238150 894285780 1043333410 1117857225 1252000092 1490476300 1565000115 2086666820 2235714450 2608333525 3130000230 4471428900 5216667050 6260000460 7825000575 10433334100 15650001150 31300002300