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31041002300 = 225271134911551
BaseRepresentation
bin11100111010001100…
…000001101100111100
32222010022010022001212
4130322030001230330
51002032444033200
622132100223552
72146140110660
oct347214015474
988108108055
1031041002300
1112189922510
12602369abb8
132c08c5a0a9
1417067ca8a0
15c1a209035
hex73a301b3c

31041002300 has 144 divisors (see below), whose sum is σ = 84227942400. Its totient is φ = 9646560000.

The previous prime is 31041002299. The next prime is 31041002327. The reversal of 31041002300 is 320014013.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2681525 + ... + 2693075.

Almost surely, 231041002300 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 31041002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42113971200).

31041002300 is an abundant number, since it is smaller than the sum of its proper divisors (53186940100).

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

31041002300 is a wasteful number, since it uses less digits than its factorization.

31041002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11932 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31041002300 its reverse (320014013), we get a palindrome (31361016313).

The spelling of 31041002300 in words is "thirty-one billion, forty-one million, two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 349 350 385 550 698 700 770 1100 1396 1540 1745 1925 2443 3490 3839 3850 4886 6980 7678 7700 8725 9772 11551 12215 15356 17450 19195 23102 24430 26873 34900 38390 46204 48860 53746 57755 61075 76780 80857 95975 107492 115510 122150 127061 134365 161714 191950 231020 244300 254122 268730 288775 323428 383900 404285 508244 537460 577550 635305 671825 808570 889427 1155100 1270610 1343650 1617140 1778854 2021425 2541220 2687300 3176525 3557708 4031299 4042850 4447135 6353050 8062598 8085700 8894270 12706100 16125196 17788540 20156495 22235675 28219093 40312990 44344289 44471350 56438186 80625980 88688578 88942700 100782475 112876372 141095465 177377156 201564950 221721445 282190930 310410023 403129900 443442890 564381860 620820046 705477325 886885780 1108607225 1241640092 1410954650 1552050115 2217214450 2821909300 3104100230 4434428900 6208200460 7760250575 15520501150 31041002300