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1002420341320 = 23579409775603
BaseRepresentation
bin11101001011001001110…
…10001000101001001000
310112211102101201111121011
432211210322020221020
5112410424101410240
62044301110453304
7132264624212506
oct16454472105110
93484371644534
101002420341320
11357140171182
12142338664234
13736b2857078
1436735a7d676
151b11dea96ea
hexe964e88a48

1002420341320 has 64 divisors (see below), whose sum is σ = 2289583008000. Its totient is φ = 394924128768.

The previous prime is 1002420341311. The next prime is 1002420341339. The reversal of 1002420341320 is 231430242001.

It is a junction number, because it is equal to n+sod(n) for n = 1002420341291 and 1002420341300.

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 15 ways as a sum of consecutive naturals, for example, 904639 + ... + 1680241.

It is an arithmetic number, because the mean of its divisors is an integer number (35774734500).

Almost surely, 21002420341320 is an apocalyptic number.

1002420341320 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 1002420341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144791504000).

1002420341320 is an abundant number, since it is smaller than the sum of its proper divisors (1287162666680).

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

1002420341320 is a wasteful number, since it uses less digits than its factorization.

1002420341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776102 (or 776098 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1002420341320 its reverse (231430242001), we get a palindrome (1233850583321).

The spelling of 1002420341320 in words is "one trillion, two billion, four hundred twenty million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 409 632 790 818 1580 1636 2045 3160 3272 4090 8180 16360 32311 64622 129244 161555 258488 323110 646220 775603 1292440 1551206 3102412 3878015 6204824 7756030 15512060 31024120 61272637 122545274 245090548 306363185 317221627 490181096 612726370 634443254 1225452740 1268886508 1586108135 2450905480 2537773016 3172216270 6344432540 12688865080 25060508533 50121017066 100242034132 125302542665 200484068264 250605085330 501210170660 1002420341320