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1310202200112 = 243136173471521
BaseRepresentation
bin10011000100001110001…
…000110000000000110000
311122020212020120220202120
4103010032020300000300
5132431243230400422
62441522032114240
7163442013643131
oct23041610600060
94566766526676
101310202200112
11465720a92133
12191b14095980
139672295c440
14475b2503c88
152413492445c
hex1310e230030

1310202200112 has 160 divisors (see below), whose sum is σ = 3755563336896. Its totient is φ = 391097548800.

The previous prime is 1310202200077. The next prime is 1310202200117. The reversal of 1310202200112 is 2110022020131.

It is a junction number, because it is equal to n+sod(n) for n = 1310202200091 and 1310202200100.

It is not an unprimeable number, because it can be changed into a prime (1310202200117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2542912 + ... + 3014432.

Almost surely, 21310202200112 is an apocalyptic number.

1310202200112 is a gapful number since it is divisible by the number (12) 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 1310202200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877781668448).

1310202200112 is an abundant number, since it is smaller than the sum of its proper divisors (2445361136784).

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

1310202200112 is a wasteful number, since it uses less digits than its factorization.

1310202200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471679 (or 471673 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1310202200112 its reverse (2110022020131), we get a palindrome (3420224220243).

The spelling of 1310202200112 in words is "one trillion, three hundred ten billion, two hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 73 78 104 122 146 156 183 208 219 244 292 312 366 438 488 584 624 732 793 876 949 976 1168 1464 1586 1752 1898 2379 2847 2928 3172 3504 3796 4453 4758 5694 6344 7592 8906 9516 11388 12688 13359 15184 17812 19032 22776 26718 35624 38064 45552 53436 57889 71248 106872 115778 173667 213744 231556 347334 463112 471521 694668 926224 943042 1389336 1414563 1886084 2778672 2829126 3772168 5658252 6129773 7544336 11316504 12259546 18389319 22633008 24519092 28762781 34421033 36778638 49038184 57525562 68842066 73557276 86288343 98076368 103263099 115051124 137684132 147114552 172576686 206526198 230102248 275368264 294229104 345153372 373916153 413052396 447473429 460204496 550736528 690306744 747832306 826104792 894946858 1121748459 1342420287 1380613488 1495664612 1652209584 1789893716 2099683013 2243496918 2684840574 2991329224 3579787432 4199366026 4486993836 5369681148 5982658448 6299049039 7159574864 8398732052 8973987672 10739362296 12598098078 16797464104 17947975344 21478724592 25196196156 27295879169 33594928208 50392392312 54591758338 81887637507 100784784624 109183516676 163775275014 218367033352 327550550028 436734066704 655101100056 1310202200112