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20303132031 = 347138930949
BaseRepresentation
bin10010111010001010…
…010011010101111111
31221101221220222020000
4102322022103111333
5313040100211111
613154354325343
71316062526520
oct227212232577
957357828200
1020303132031
118679652666
123b27589853
131bb74311c0
14da8672847
157dc697c56
hex4ba29357f

20303132031 has 80 divisors (see below), whose sum is σ = 37749096000. Its totient is φ = 10588672512.

The previous prime is 20303132027. The next prime is 20303132077. The reversal of 20303132031 is 13023130302.

It is not a de Polignac number, because 20303132031 - 22 = 20303132027 is a prime.

It is a super-2 number, since 2×203031320312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20303131995 and 20303132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20303132131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 640545 + ... + 671493.

It is an arithmetic number, because the mean of its divisors is an integer number (471863700).

Almost surely, 220303132031 is an apocalyptic number.

20303132031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20303132031 is a deficient number, since it is larger than the sum of its proper divisors (17445963969).

20303132031 is a wasteful number, since it uses less digits than its factorization.

20303132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31070 (or 31061 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20303132031 its reverse (13023130302), we get a palindrome (33326262333).

The spelling of 20303132031 in words is "twenty billion, three hundred three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 81 89 91 117 189 267 273 351 567 623 801 819 1053 1157 1869 2403 2457 3471 5607 7209 7371 8099 10413 16821 24297 30949 31239 50463 72891 92847 93717 216643 218673 278541 402337 649929 656019 835623 1207011 1949787 2506869 2754461 2816359 3621033 5849361 8263383 8449077 10863099 17548083 19281227 24790149 25347231 32589297 35807993 57843681 74370447 76041693 107423979 173531043 223111341 228125079 250655951 322271937 520593129 751967853 966815811 1561779387 2255903559 2900447433 6767710677 20303132031