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31023133030000 = 245443516713963
BaseRepresentation
bin1110000110111001000101…
…10100101111011001110000
311001211210010110222212102001
413003130202310233121300
513031240334023430000
6145551455222503344
76351230104555336
oct703344264573160
9131753113885361
1031023133030000
119980922907861
1235905a8594b54
131440613203907
14793755c2db56
1538beb237b46a
hex1c3722d2f670

31023133030000 has 200 divisors, whose sum is σ = 76877234010368. Its totient is φ = 12117452256000.

The previous prime is 31023133029947. The next prime is 31023133030009. The reversal of 31023133030000 is 3033132013.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 31023133030000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31023133030009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2221803019 + ... + 2221816981.

Almost surely, 231023133030000 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 31023133030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38438617005184).

31023133030000 is an abundant number, since it is smaller than the sum of its proper divisors (45854100980368).

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

31023133030000 is a wasteful number, since it uses less digits than its factorization.

31023133030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201 (or 19180 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 31023133030000 its reverse (3033132013), we get a palindrome (31026166162013).

The spelling of 31023133030000 in words is "thirty-one trillion, twenty-three billion, one hundred thirty-three million, thirty thousand".