Search a number
-
+
31101431200 = 255275553827
BaseRepresentation
bin11100111101110010…
…100010110110100000
32222021111211101221021
4130331302202312200
51002143431244300
622142055335224
72150502542350
oct347562426640
988244741837
1031101431200
111220aa46654
12603b981514
132c18627338
14171083ab60
15c20693d1a
hex73dca2da0

31101431200 has 72 divisors (see below), whose sum is σ = 86773008672. Its totient is φ = 10663345920.

The previous prime is 31101431183. The next prime is 31101431203. The reversal of 31101431200 is 213410113.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31101431203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2771314 + ... + 2782513.

It is an arithmetic number, because the mean of its divisors is an integer number (1205180676).

Almost surely, 231101431200 is an apocalyptic number.

It is an amenable number.

31101431200 is an abundant number, since it is smaller than the sum of its proper divisors (55671577472).

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

31101431200 is a wasteful number, since it uses less digits than its factorization.

31101431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553854 (or 5553841 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31101431200 its reverse (213410113), we get a palindrome (31314841313).

The spelling of 31101431200 in words is "thirty-one billion, one hundred one million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 5553827 11107654 22215308 27769135 38876789 44430616 55538270 77753578 88861232 111076540 138845675 155507156 177722464 194383945 222153080 277691350 311014312 388767890 444306160 555382700 622028624 777535780 888612320 971919725 1110765400 1244057248 1555071560 1943839450 2221530800 3110143120 3887678900 4443061600 6220286240 7775357800 15550715600 31101431200