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31200033140 = 2252373991781
BaseRepresentation
bin11101000011101010…
…101011100101110100
32222112101100220100222
4131003222223211310
51002344202030030
622155540553512
72153110622513
oct350352534564
988471326328
1031200033140
1112260672761
1260689b2898
132c32b9b693
14171d98667a
15c2916e3e5
hex743aab974

31200033140 has 48 divisors (see below), whose sum is σ = 68462029440. Its totient is φ = 11921120640.

The previous prime is 31200033131. The next prime is 31200033149. The reversal of 31200033140 is 4133000213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31200033131) and next prime (31200033149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200033149) 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 15 ways as a sum of consecutive naturals, for example, 294050 + ... + 385830.

It is an arithmetic number, because the mean of its divisors is an integer number (1426292280).

Almost surely, 231200033140 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 31200033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34231014720).

31200033140 is an abundant number, since it is smaller than the sum of its proper divisors (37261996300).

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

31200033140 is a wasteful number, since it uses less digits than its factorization.

31200033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92552 (or 92550 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 31200033140 its reverse (4133000213), we get a palindrome (35333033353).

The spelling of 31200033140 in words is "thirty-one billion, two hundred million, thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 739 1478 2956 3695 7390 14780 16997 33994 67988 84985 91781 169970 183562 339940 367124 458905 917810 1835620 2110963 4221926 8443852 10554815 21109630 42219260 67826159 135652318 271304636 339130795 678261590 1356523180 1560001657 3120003314 6240006628 7800008285 15600016570 31200033140