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1032002312420 = 22519127211101347
BaseRepresentation
bin11110000010010000010…
…00011001100011100100
310122122210000102100010102
433001020020121203210
5113402020042444140
62110032331043232
7134362656630302
oct17011010314344
93578700370112
101032002312420
11368740445982
121480135a0518
1376418437691
1437d4078d272
151bca105ce15
hexf0482198e4

1032002312420 has 96 divisors (see below), whose sum is σ = 2310150635520. Its totient is φ = 386152583040.

The previous prime is 1032002312389. The next prime is 1032002312431. The reversal of 1032002312420 is 242132002301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1032002312392 and 1032002312401.

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, 10132187 + ... + 10233533.

It is an arithmetic number, because the mean of its divisors is an integer number (24064069120).

Almost surely, 21032002312420 is an apocalyptic number.

1032002312420 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 1032002312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155075317760).

1032002312420 is an abundant number, since it is smaller than the sum of its proper divisors (1278148323100).

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

1032002312420 is a wasteful number, since it uses less digits than its factorization.

1032002312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101713 (or 101711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1032002312420 its reverse (242132002301), we get a palindrome (1274134314721).

The spelling of 1032002312420 in words is "one trillion, thirty-two billion, two million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 211 254 380 422 508 635 844 1055 1270 2110 2413 2540 4009 4220 4826 8018 9652 12065 16036 20045 24130 26797 40090 48260 53594 80180 101347 107188 133985 202694 267970 405388 506735 509143 535940 1013470 1018286 1925593 2026940 2036572 2545715 3851186 5091430 7702372 9627965 10182860 12871069 19255930 21384217 25742138 38511860 42768434 51484276 64355345 85536868 106921085 128710690 213842170 244550311 257421380 406300123 427684340 489100622 812600246 978201244 1222751555 1625200492 2031500615 2445503110 2715795559 4063001230 4891006220 5431591118 8126002460 10863182236 13578977795 27157955590 51600115621 54315911180 103200231242 206400462484 258000578105 516001156210 1032002312420