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1003343101420 = 2251129631124919
BaseRepresentation
bin11101001100110111110…
…10001011110111101100
310112220210201001120111011
432212123322023313230
5112414321313221140
62044532432435004
7132326530434262
oct16463372136754
93486721046434
101003343101420
11357574029530
121425556a8a64
13737cba8c26a
14367c2442432
151b174ececea
hexe99be8bdec

1003343101420 has 96 divisors (see below), whose sum is σ = 2378301004800. Its totient is φ = 352200979200.

The previous prime is 1003343101351. The next prime is 1003343101421. The reversal of 1003343101420 is 241013433001.

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 = 1003343101391 and 1003343101400.

It is not an unprimeable number, because it can be changed into a prime (1003343101421) 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, 40251721 + ... + 40276639.

It is an arithmetic number, because the mean of its divisors is an integer number (24773968800).

Almost surely, 21003343101420 is an apocalyptic number.

1003343101420 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 1003343101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189150502400).

1003343101420 is an abundant number, since it is smaller than the sum of its proper divisors (1374957903380).

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

1003343101420 is a wasteful number, since it uses less digits than its factorization.

1003343101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31279 (or 31277 counting only the distinct ones).

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

Adding to 1003343101420 its reverse (241013433001), we get a palindrome (1244356534421).

The spelling of 1003343101420 in words is "one trillion, three billion, three hundred forty-three million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6311 6380 12622 24919 25244 31555 49838 63110 69421 99676 124595 126220 138842 183019 249190 274109 277684 347105 366038 498380 548218 694210 722651 732076 915095 1096436 1370545 1388420 1445302 1830190 2013209 2741090 2890604 3613255 3660380 4026418 5482180 7226510 7949161 8052836 10066045 14453020 15898322 20132090 31796644 39745805 40264180 79491610 157263809 158983220 314527618 629055236 786319045 1572638090 1729901899 3145276180 3459803798 4560650461 6919607596 8649509495 9121300922 17299018990 18242601844 22803252305 34598037980 45606504610 50167155071 91213009220 100334310142 200668620284 250835775355 501671550710 1003343101420