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1310231002320 = 243352467245881
BaseRepresentation
bin10011000100001111110…
…110100111110011010000
311122020221020210012222000
4103010033312213303100
5132431323114033240
62441524541314000
7163442513522442
oct23041766476320
94566836705860
101310231002320
11465736274709
12191b21865900
1396728905176
14475b6280492
1524137213430
hex1310fda7cd0

1310231002320 has 160 divisors (see below), whose sum is σ = 4514865613440. Its totient is φ = 349251886080.

The previous prime is 1310231002279. The next prime is 1310231002331. The reversal of 1310231002320 is 232001320131.

1310231002320 is a `hidden beast` number, since 1 + 31 + 0 + 2 + 310 + 0 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310231002293 and 1310231002302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5205780 + ... + 5451660.

It is an arithmetic number, because the mean of its divisors is an integer number (28217910084).

Almost surely, 21310231002320 is an apocalyptic number.

1310231002320 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 1310231002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257432806720).

1310231002320 is an abundant number, since it is smaller than the sum of its proper divisors (3204634611120).

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

1310231002320 is a wasteful number, since it uses less digits than its factorization.

1310231002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248370 (or 248358 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1310231002320 its reverse (232001320131), we get a palindrome (1542232322451).

The spelling of 1310231002320 in words is "one trillion, three hundred ten billion, two hundred thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2467 4934 7401 9868 12335 14802 19736 22203 24670 29604 37005 39472 44406 49340 59208 66609 74010 88812 98680 111015 118416 133218 148020 177624 197360 222030 245881 266436 296040 333045 355248 444060 491762 532872 592080 666090 737643 888120 983524 1065744 1229405 1332180 1475286 1776240 1967048 2212929 2458810 2664360 2950572 3688215 3934096 4425858 4917620 5328720 5901144 6638787 7376430 8851716 9835240 11064645 11802288 13277574 14752860 17703432 19670480 22129290 26555148 29505720 33193935 35406864 44258580 53110296 59011440 66387870 88517160 106220592 132775740 177034320 265551480 531102960 606588427 1213176854 1819765281 2426353708 3032942135 3639530562 4852707416 5459295843 6065884270 7279061124 9098826405 9705414832 10918591686 12131768540 14558122248 16377887529 18197652810 21837183372 24263537080 27296479215 29116244496 32755775058 36395305620 43674366744 48527074160 54592958430 65511550116 72790611240 81889437645 87348733488 109185916860 131023100232 145581222480 163778875290 218371833720 262046200464 327557750580 436743667440 655115501160 1310231002320