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30020003332002 = 232234012450943
BaseRepresentation
bin1101101001101100100111…
…01000100111111110100010
310221021212212122111022101100
412310312103220213332202
512413321431323111002
6143502555452015230
76215605445041335
oct664662350477642
9127255778438340
1030020003332002
1196244592964a2
12344a0b2461516
131399b49712688
1475ad93c9c61c
15370d50ea211c
hex1b4d93a27fa2

30020003332002 has 72 divisors (see below), whose sum is σ = 68041139991552. Its totient is φ = 9547704777600.

The previous prime is 30020003331991. The next prime is 30020003332037. The reversal of 30020003332002 is 20023330002003.

It is a super-2 number, since 2×300200033320022 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66346143 + ... + 66797085.

It is an arithmetic number, because the mean of its divisors is an integer number (945015833216).

Almost surely, 230020003332002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30020003332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34020569995776).

30020003332002 is an abundant number, since it is smaller than the sum of its proper divisors (38021136659550).

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

30020003332002 is a wasteful number, since it uses less digits than its factorization.

30020003332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451776 (or 451372 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30020003332002 its reverse (20023330002003), we get a palindrome (50043333334005).

The spelling of 30020003332002 in words is "thirty trillion, twenty billion, three million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 401 414 802 1203 2406 3609 7218 9223 18446 27669 55338 83007 160801 166014 321602 450943 482403 901886 964806 1352829 1447209 2705658 2894418 3698423 4058487 7396846 8116974 10371689 11095269 20743378 22190538 31115067 33285807 62230134 66571614 93345201 180828143 186690402 361656286 542484429 1084968858 1627453287 3254906574 4159047289 8318094578 12477141867 24954283734 37431425601 72512085343 74862851202 145024170686 217536256029 435072512058 652608768087 1305217536174 1667777962889 3335555925778 5003333888667 10006667777334 15010001666001 30020003332002