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31431002220 = 22325434060853
BaseRepresentation
bin11101010001011011…
…110000100001101100
310000010110222100101100
4131101123300201230
51003332314032340
622234511243100
72161614052662
oct352133604154
9100113870340
1031431002220
1112369a881a2
126112219490
132c6b9a9a87
14174250ac32
15c3e594830
hex7516f086c

31431002220 has 72 divisors (see below), whose sum is σ = 97557956496. Its totient is φ = 8186677632.

The previous prime is 31431002219. The next prime is 31431002231. The reversal of 31431002220 is 2220013413.

31431002220 is a `hidden beast` number, since 314 + 310 + 0 + 22 + 20 = 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 = 31431002193 and 31431002202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2022687 + ... + 2038166.

It is an arithmetic number, because the mean of its divisors is an integer number (1354971618).

Almost surely, 231431002220 is an apocalyptic number.

31431002220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31431002220 is an abundant number, since it is smaller than the sum of its proper divisors (66126954276).

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

31431002220 is a wasteful number, since it uses less digits than its factorization.

31431002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060911 (or 4060906 counting only the distinct ones).

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

Adding to 31431002220 its reverse (2220013413), we get a palindrome (33651015633).

The spelling of 31431002220 in words is "thirty-one billion, four hundred thirty-one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 4060853 8121706 12182559 16243412 20304265 24365118 36547677 40608530 48730236 60912795 73095354 81217060 121825590 146190708 174616679 182738385 243651180 349233358 365476770 523850037 698466716 730953540 873083395 1047700074 1571550111 1746166790 2095400148 2619250185 3143100222 3492333580 5238500370 6286200444 7857750555 10477000740 15715501110 31431002220