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3130222051300 = 22521741113397433
BaseRepresentation
bin101101100011001111110…
…001011111111111100100
3102002020122120000220012011
4231203033301133333210
5402241143321120200
610354000522004004
7442102551300241
oct55431761377744
912066576026164
103130222051300
11aa757981a283
124267a9046604
1319924270ca26
14ab709a845c8
1556656d1a5ba
hex2d8cfc5ffe4

3130222051300 has 144 divisors (see below), whose sum is σ = 7432782052752. Its totient is φ = 1139517030400.

The previous prime is 3130222051291. The next prime is 3130222051309. The reversal of 3130222051300 is 31502220313.

It is an interprime number because it is at equal distance from previous prime (3130222051291) and next prime (3130222051309).

It can be written as a sum of positive squares in 24 ways, for example, as 3129353924004 + 868127296 = 1768998^2 + 29464^2 .

It is not an unprimeable number, because it can be changed into a prime (3130222051309) 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, 7677384 + ... + 8074816.

It is an arithmetic number, because the mean of its divisors is an integer number (51616542033).

Almost surely, 23130222051300 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 3130222051300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716391026376).

3130222051300 is an abundant number, since it is smaller than the sum of its proper divisors (4302560001452).

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

3130222051300 is a wasteful number, since it uses less digits than its factorization.

3130222051300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397618 (or 397611 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 3130222051300 its reverse (31502220313), we get a palindrome (3161724271613).

The spelling of 3130222051300 in words is "three trillion, one hundred thirty billion, two hundred twenty-two million, fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 113 164 170 205 226 340 410 425 452 565 697 820 850 1025 1130 1394 1700 1921 2050 2260 2788 2825 3485 3842 4100 4633 5650 6970 7684 9266 9605 11300 13940 17425 18532 19210 23165 34850 38420 46330 48025 69700 78761 92660 96050 115825 157522 192100 231650 315044 393805 397433 463300 787610 794866 1575220 1589732 1969025 1987165 3938050 3974330 6756361 7876100 7948660 9935825 13512722 16294753 19871650 27025444 32589506 33781805 39743300 44909929 65179012 67563610 81473765 89819858 135127220 162947530 168909025 179639716 224549645 277010801 325895060 337818050 407368825 449099290 554021602 675636100 763468793 814737650 898198580 1108043204 1122748225 1385054005 1526937586 1629475300 1841307089 2245496450 2770108010 3053875172 3682614178 3817343965 4490992900 5540216020 6925270025 7365228356 7634687930 9206535445 13850540050 15269375860 18413070890 19086719825 27701080100 31302220513 36826141780 38173439650 46032677225 62604441026 76346879300 92065354450 125208882052 156511102565 184130708900 313022205130 626044410260 782555512825 1565111025650 3130222051300