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1004311242330 = 2351137151544723
BaseRepresentation
bin11101001110101011001…
…11010110011001011010
310120000022011210020010220
432213111213112121122
5112423312134223310
62045212455220510
7132362524464444
oct16472547263132
93500264706126
101004311242330
11357a20572090
12142785977736
13739245231c6
1436874c59494
151b1ceebb670
hexe9d59d665a

1004311242330 has 128 divisors (see below), whose sum is σ = 2718425511936. Its totient is φ = 235319904000.

The previous prime is 1004311242313. The next prime is 1004311242343. The reversal of 1004311242330 is 332421134001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004311242330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1571349 + ... + 2116071.

It is an arithmetic number, because the mean of its divisors is an integer number (21237699312).

Almost surely, 21004311242330 is an apocalyptic number.

1004311242330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004311242330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359212755968).

1004311242330 is an abundant number, since it is smaller than the sum of its proper divisors (1714114269606).

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

1004311242330 is a wasteful number, since it uses less digits than its factorization.

1004311242330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544932.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1004311242330 its reverse (332421134001), we get a palindrome (1336732376331).

The spelling of 1004311242330 in words is "one trillion, four billion, three hundred eleven million, two hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 151 165 185 222 302 330 370 407 453 555 755 814 906 1110 1221 1510 1661 2035 2265 2442 3322 4070 4530 4983 5587 6105 8305 9966 11174 12210 16610 16761 24915 27935 33522 49830 55870 61457 83805 122914 167610 184371 307285 368742 544723 614570 921855 1089446 1634169 1843710 2723615 3268338 5447230 5991953 8170845 11983906 16341690 17975859 20154751 29959765 35951718 40309502 59919530 60464253 82253173 89879295 100773755 120928506 164506346 179758590 201547510 221702261 246759519 302321265 411265865 443404522 493519038 604642530 665106783 822531730 904784903 1108511305 1233797595 1330213566 1809569806 2217022610 2467595190 2714354709 3043367401 3325533915 4523924515 5428709418 6086734802 6651067830 9047849030 9130102203 13571773545 15216837005 18260204406 27143547090 30433674010 33477041411 45650511015 66954082822 91301022030 100431124233 167385207055 200862248466 334770414110 502155621165 1004311242330