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31252430000 = 2454112997101
BaseRepresentation
bin11101000110110010…
…100011110010110000
32222200000221221100102
4131012302203302300
51003001110230000
622205052011532
72154315162161
oct350662436260
988600857312
1031252430000
1112288200250
126082460ba8
132c409b5a3c
141726905768
15c2da6e3d5
hex746ca3cb0

31252430000 has 400 divisors, whose sum is σ = 87124736160. Its totient is φ = 10752000000.

The previous prime is 31252429973. The next prime is 31252430009. The reversal of 31252430000 is 3425213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (31252430009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 309429950 + ... + 309430050.

Almost surely, 231252430000 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 31252430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43562368080).

31252430000 is an abundant number, since it is smaller than the sum of its proper divisors (55872306160).

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

31252430000 is a wasteful number, since it uses less digits than its factorization.

31252430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 31252430000 its reverse (3425213), we get a palindrome (31255855213).

The spelling of 31252430000 in words is "thirty-one billion, two hundred fifty-two million, four hundred thirty thousand".