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2141303430 = 235722296361
BaseRepresentation
bin111111110100001…
…1011001010000110
312112020020111002110
41333220123022012
513341133202210
6552251321450
7104030531100
oct17750331206
95466214073
102141303430
119a9789a62
124b9150286
1328181ca66
1416455c570
15c7ec5420
hex7fa1b286

2141303430 has 96 divisors (see below), whose sum is σ = 6005219040. Its totient is φ = 487226880.

The previous prime is 2141303419. The next prime is 2141303443. The reversal of 2141303430 is 343031412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2141303397 and 2141303406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333450 + ... + 339810.

It is an arithmetic number, because the mean of its divisors is an integer number (62554365).

Almost surely, 22141303430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141303430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002609520).

2141303430 is an abundant number, since it is smaller than the sum of its proper divisors (3863915610).

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

2141303430 is a wasteful number, since it uses less digits than its factorization.

2141303430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2141303430 is about 46274.2199285952. The cubic root of 2141303430 is about 1288.9203212900.

Adding to 2141303430 its reverse (343031412), we get a palindrome (2484334842).

The spelling of 2141303430 in words is "two billion, one hundred forty-one million, three hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 229 245 294 458 490 687 735 1145 1374 1470 1603 2290 3206 3435 4809 6361 6870 8015 9618 11221 12722 16030 19083 22442 24045 31805 33663 38166 44527 48090 56105 63610 67326 89054 95415 112210 133581 168315 190830 222635 267162 311689 336630 445270 623378 667905 935067 1335810 1456669 1558445 1870134 2913338 3116890 4370007 4675335 7283345 8740014 9350670 10196683 14566690 20393366 21850035 30590049 43700070 50983415 61180098 71376781 101966830 142753562 152950245 214130343 305900490 356883905 428260686 713767810 1070651715 2141303430