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1002013333332 = 2231129613427013
BaseRepresentation
bin11101001010011001010…
…01100001011101010100
310112210101000212100121020
432211030221201131110
5112404110403131312
62044152451121140
7132251552542344
oct16451451413524
93483330770536
101002013333332
11356a5144a040
121422442a31b0
1373649430a3b
14366d79b2d24
151b0e83ae78c
hexe94ca61754

1002013333332 has 96 divisors (see below), whose sum is σ = 2642840887680. Its totient is φ = 292691105280.

The previous prime is 1002013333301. The next prime is 1002013333351. The reversal of 1002013333332 is 2333333102001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133058 + ... + 2560070.

It is an arithmetic number, because the mean of its divisors is an integer number (27529592580).

Almost surely, 21002013333332 is an apocalyptic number.

1002013333332 is a gapful number since it is divisible by the number (12) 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 1002013333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321420443840).

1002013333332 is an abundant number, since it is smaller than the sum of its proper divisors (1640827554348).

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

1002013333332 is a wasteful number, since it uses less digits than its factorization.

1002013333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427673 (or 427671 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1002013333332 its reverse (2333333102001), we get a palindrome (3335346435333).

The spelling of 1002013333332 in words is "one trillion, two billion, thirteen million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 613 638 957 1226 1276 1839 1914 2452 3678 3828 6743 7356 13486 17777 20229 26972 35554 40458 53331 71108 80916 106662 195547 213324 391094 427013 586641 782188 854026 1173282 1281039 1708052 2346564 2562078 4697143 5124156 9394286 12383377 14091429 18788572 24766754 28182858 37150131 49533508 56365716 74300262 136217147 148600524 261758969 272434294 408651441 523517938 544868588 785276907 817302882 1047035876 1570553814 1634605764 2879348659 3141107628 5758697318 7591010101 8638045977 11517394636 15182020202 17276091954 22773030303 30364040404 34552183908 45546060606 83501111111 91092121212 167002222222 250503333333 334004444444 501006666666 1002013333332