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2002031031 = 371121360607
BaseRepresentation
bin111011101010100…
…1001000110110111
312011112011201021110
41313111021012313
513100004443111
6530354250103
7100416661110
oct16725110667
95145151243
102002031031
11938104600
1247a586933
1325ba08960
1414dc67207
15bab645a6
hex775491b7

2002031031 has 48 divisors (see below), whose sum is σ = 3611267072. Its totient is φ = 959999040.

The previous prime is 2002030999. The next prime is 2002031033. The reversal of 2002031031 is 1301302002.

It is a happy number.

It is not a de Polignac number, because 2002031031 - 25 = 2002030999 is a prime.

It is a super-2 number, since 2×20020310312 = 8016256498173845922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002030998 and 2002031016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002031033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2730 + ... + 63336.

Almost surely, 22002031031 is an apocalyptic number.

2002031031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2002031031 is a deficient number, since it is larger than the sum of its proper divisors (1609236041).

2002031031 is a wasteful number, since it uses less digits than its factorization.

2002031031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60652 (or 60641 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2002031031 is about 44744.0614048390. The cubic root of 2002031031 is about 1260.3473953923.

Adding to 2002031031 its reverse (1301302002), we get a palindrome (3303333033).

The spelling of 2002031031 in words is "two billion, two million, thirty-one thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 11011 33033 60607 181821 424249 666677 787891 1272747 2000031 2363673 4666739 5515237 7333447 8666801 14000217 16545711 22000341 26000403 51334129 60667607 95334811 154002387 182002821 286004433 667343677 2002031031