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30400311331000 = 2353132223980341
BaseRepresentation
bin1101110100110000111111…
…10000100000100010111000
310222122020111222002101022201
412322120133300200202320
512441034314200043000
6144353413224155544
76255231024511612
oct672303760404270
9128566458071281
1030400311331000
119760777236aa6
1234ab94a908bb4
1313c6977414a00
14771550a31db2
1537abadbbd96a
hex1ba61fc208b8

30400311331000 has 192 divisors, whose sum is σ = 77065074777600. Its totient is φ = 11219577408000.

The previous prime is 30400311330931. The next prime is 30400311331031. The reversal of 30400311331000 is 13311300403.

It is a super-2 number, since 2×304003113310002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378350830 + ... + 378431170.

It is an arithmetic number, because the mean of its divisors is an integer number (401380597800).

Almost surely, 230400311331000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30400311331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38532537388800).

30400311331000 is an abundant number, since it is smaller than the sum of its proper divisors (46664763446600).

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

30400311331000 is a wasteful number, since it uses less digits than its factorization.

30400311331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82627 (or 82600 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 30400311331000 its reverse (13311300403), we get a palindrome (30413622631403).

The spelling of 30400311331000 in words is "thirty trillion, four hundred billion, three hundred eleven million, three hundred thirty-one thousand".