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1031130110320 = 245372231562129
BaseRepresentation
bin11110000000101000010…
…01001101100101110000
310122120112020012212202221
433000110021031211300
5113343223302012240
62105410012450424
7134332236216112
oct17002411154560
93576466185687
101031130110320
1136833307a5a2
12147a0b479a14
137630982486b
1437c9a9cb3b2
151bc4e6c2a4a
hexf01424d970

1031130110320 has 80 divisors (see below), whose sum is σ = 2473214204160. Its totient is φ = 399504863232.

The previous prime is 1031130110317. The next prime is 1031130110327. The reversal of 1031130110320 is 230110311301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1031130110294 and 1031130110303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031130110327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120985 + ... + 1441144.

It is an arithmetic number, because the mean of its divisors is an integer number (30915177552).

Almost surely, 21031130110320 is an apocalyptic number.

1031130110320 is a gapful number since it is divisible by the number (10) 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 1031130110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236607102080).

1031130110320 is an abundant number, since it is smaller than the sum of its proper divisors (1442084093840).

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

1031130110320 is a wasteful number, since it uses less digits than its factorization.

1031130110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562402 (or 1562396 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1031130110320 its reverse (230110311301), we get a palindrome (1261240421621).

The spelling of 1031130110320 in words is "one trillion, thirty-one billion, one hundred thirty million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 223 296 370 446 592 740 892 1115 1480 1784 2230 2960 3568 4460 8251 8920 16502 17840 33004 41255 66008 82510 132016 165020 330040 660080 1562129 3124258 6248516 7810645 12497032 15621290 24994064 31242580 57798773 62485160 115597546 124970320 231195092 288993865 348354767 462390184 577987730 696709534 924780368 1155975460 1393419068 1741773835 2311950920 2786838136 3483547670 4623901840 5573676272 6967095340 12889126379 13934190680 25778252758 27868381360 51556505516 64445631895 103113011032 128891263790 206226022064 257782527580 515565055160 1031130110320