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31042301220 = 22335729283181
BaseRepresentation
bin11100111010010000…
…111110110100100100
32222010101120021212000
4130322100332310210
51002033312114340
622132144125300
72146154130630
oct347220766444
988111507760
1031042301220
111218a62a3a7
126024006830
132c092c3398
141706a47dc0
15c1a3b3d30
hex73a43ed24

31042301220 has 192 divisors, whose sum is σ = 114178982400. Its totient is φ = 6850690560.

The previous prime is 31042301203. The next prime is 31042301231. The reversal of 31042301220 is 2210324013.

31042301220 is a `hidden beast` number, since 310 + 4 + 230 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31042301193 and 31042301202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31971 + ... + 251210.

It is an arithmetic number, because the mean of its divisors is an integer number (594682200).

Almost surely, 231042301220 is an apocalyptic number.

31042301220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31042301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57089491200).

31042301220 is an abundant number, since it is smaller than the sum of its proper divisors (83136681180).

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

31042301220 is a wasteful number, since it uses less digits than its factorization.

31042301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283235 (or 283227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31042301220 its reverse (2210324013), we get a palindrome (33252625233).

It can be divided in two parts, 3104 and 2301220, that added together give a square (2304324 = 15182).

The spelling of 31042301220 in words is "thirty-one billion, forty-two million, three hundred one thousand, two hundred twenty".