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1031020313120 = 25572131507693
BaseRepresentation
bin11110000000011011001…
…10010111101000100000
310122120020120121121022222
433000031212113220200
5113343012200004440
62105351051250212
7134326434030500
oct17001546275040
93576216547288
101031020313120
113682870a7306
1214799a749968
13762bcb608c5
1437c8a1a9a00
151bc44c352b5
hexf00d997a20

1031020313120 has 72 divisors (see below), whose sum is σ = 2833464774924. Its totient is φ = 353492676096.

The previous prime is 1031020313119. The next prime is 1031020313123. The reversal of 1031020313120 is 213130201301.

It can be written as a sum of positive squares in 2 ways, for example, as 957603159184 + 73417153936 = 978572^2 + 270956^2 .

It is not an unprimeable number, because it can be changed into a prime (1031020313123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 65746007 + ... + 65761686.

Almost surely, 21031020313120 is an apocalyptic number.

1031020313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031020313120 is an abundant number, since it is smaller than the sum of its proper divisors (1802444461804).

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

1031020313120 is a wasteful number, since it uses less digits than its factorization.

1031020313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131507722 (or 131507707 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1031020313120 its reverse (213130201301), we get a palindrome (1244150514421).

The spelling of 1031020313120 in words is "one trillion, thirty-one billion, twenty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 131507693 263015386 526030772 657538465 920553851 1052061544 1315076930 1841107702 2104123088 2630153860 3682215404 4208246176 4602769255 5260307720 6443876957 7364430808 9205538510 10520615440 12887753914 14728861616 18411077020 21041230880 25775507828 29457723232 32219384785 36822154040 51551015656 64438769570 73644308080 103102031312 128877539140 147288616160 206204062624 257755078280 515510156560 1031020313120