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30003313031202 = 2374720037588241
BaseRepresentation
bin1101101001001101100001…
…10100001011100000100010
310221020021210110202011220110
412310212300310023200202
512413033241113444302
6143451155352552150
76214445031604260
oct664466064134042
9127207713664813
1030003313031202
119618374026475
123446a149b2656
1313983b9934a44
1475a24d399430
153706c5aa2b6c
hex1b49b0d0b822

30003313031202 has 64 divisors (see below), whose sum is σ = 70073104748544. Its totient is φ = 8385794376960.

The previous prime is 30003313031201. The next prime is 30003313031203. The reversal of 30003313031202 is 20213031330003.

It is an interprime number because it is at equal distance from previous prime (30003313031201) and next prime (30003313031203).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (30003313031201) by changing a digit.

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, 159802 + ... + 7748042.

It is an arithmetic number, because the mean of its divisors is an integer number (1094892261696).

Almost surely, 230003313031202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30003313031202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35036552374272).

30003313031202 is an abundant number, since it is smaller than the sum of its proper divisors (40069791717342).

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

30003313031202 is a wasteful number, since it uses less digits than its factorization.

30003313031202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590303.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 30003313031202 its reverse (20213031330003), we get a palindrome (50216344361205).

The spelling of 30003313031202 in words is "thirty trillion, three billion, three hundred thirteen million, thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 2003 4006 6009 12018 14021 28042 42063 84126 94141 188282 282423 564846 658987 1317974 1976961 3953922 7588241 15176482 22764723 45529446 53117687 106235374 159353061 318706122 356647327 713294654 1069941981 2139883962 2496531289 4993062578 7489593867 14979187734 15199246723 30398493446 45597740169 91195480338 106394727061 212789454122 319184181183 638368362366 714364595981 1428729191962 2143093787943 4286187575886 5000552171867 10001104343734 15001656515601 30003313031202