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31023130000 = 245417182489
BaseRepresentation
bin11100111001000111…
…110110010110010000
32222002001111021212211
4130321013312112100
51002013410130000
622130221201504
72145532153102
oct347107662620
988061437784
1031023130000
111217a825815
126019700294
132c05340275
141704297572
15c188787ba
hex7391f6590

31023130000 has 100 divisors (see below), whose sum is σ = 79528777020. Its totient is φ = 11679232000.

The previous prime is 31023129979. The next prime is 31023130009. The reversal of 31023130000 is 3132013.

It can be written as a sum of positive squares in 10 ways, for example, as 27991966864 + 3031163136 = 167308^2 + 55056^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (31023130009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78756 + ... + 261244.

Almost surely, 231023130000 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 31023130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39764388510).

31023130000 is an abundant number, since it is smaller than the sum of its proper divisors (48505647020).

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

31023130000 is a wasteful number, since it uses less digits than its factorization.

31023130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182534 (or 182513 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 31023130000 its reverse (3132013), we get a palindrome (31026262013).

The spelling of 31023130000 in words is "thirty-one billion, twenty-three million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 170000 182489 364978 729956 912445 1459912 1824890 2919824 3102313 3649780 4562225 6204626 7299560 9124450 12409252 14599120 15511565 18248900 22811125 24818504 31023130 36497800 45622250 49637008 62046260 72995600 77557825 91244500 114055625 124092520 155115650 182489000 228111250 248185040 310231300 364978000 387789125 456222500 620462600 775578250 912445000 1240925200 1551156500 1824890000 1938945625 3102313000 3877891250 6204626000 7755782500 15511565000 31023130000