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1042231301320 = 235114382966449
BaseRepresentation
bin11110010101010011101…
…00111001010011001000
310200122011220001210222011
433022221310321103020
5114033442203120240
62114443333505304
7135204314614336
oct17125164712310
93618156053864
101042231301320
1137200a442710
12149ba91a2234
13773886bbb31
14386310bcb56
151c19e09e6ea
hexf2a9d394c8

1042231301320 has 128 divisors (see below), whose sum is σ = 2620894320000. Its totient is φ = 369727303680.

The previous prime is 1042231301273. The next prime is 1042231301333. The reversal of 1042231301320 is 231031322401.

1042231301320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1042231301291 and 1042231301300.

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, 15651456 + ... + 15717904.

It is an arithmetic number, because the mean of its divisors is an integer number (20475736875).

Almost surely, 21042231301320 is an apocalyptic number.

1042231301320 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 1042231301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310447160000).

1042231301320 is an abundant number, since it is smaller than the sum of its proper divisors (1578663018680).

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

1042231301320 is a wasteful number, since it uses less digits than its factorization.

1042231301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67343 (or 67339 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1042231301320 its reverse (231031322401), we get a palindrome (1273262623721).

The spelling of 1042231301320 in words is "one trillion, forty-two billion, two hundred thirty-one million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 829 860 946 1658 1720 1892 2365 3316 3784 4145 4730 6632 8290 9119 9460 16580 18238 18920 33160 35647 36476 45595 66449 71294 72952 91190 132898 142588 178235 182380 265796 285176 332245 356470 364760 392117 531592 664490 712940 730939 784234 1328980 1425880 1461878 1568468 1960585 2657960 2857307 2923756 3136936 3654695 3921170 5714614 5847512 7309390 7842340 11429228 14286535 14618780 15684680 22858456 28573070 29237560 31430377 55086221 57146140 62860754 110172442 114292280 125721508 157151885 220344884 251443016 275431105 314303770 440689768 550862210 605948431 628607540 1101724420 1211896862 1257215080 2203448840 2368707503 2423793724 3029742155 4737415006 4847587448 6059484310 9474830012 11843537515 12118968620 18949660024 23687075030 24237937240 26055782533 47374150060 52111565066 94748300120 104223130132 130278912665 208446260264 260557825330 521115650660 1042231301320