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2420330031 = 33779173937
BaseRepresentation
bin1001000001000011…
…0100111000101111
320020200021111122000
42100100310320233
514424101030111
61040100023343
7113656315530
oct22020647057
96220244560
102420330031
111032238859
12576691b53
132c7586362
1418d632687
15e273ec56
hex90434e2f

2420330031 has 64 divisors (see below), whose sum is σ = 4178227200. Its totient is φ = 1356196608.

The previous prime is 2420330021. The next prime is 2420330117. The reversal of 2420330031 is 1300330242.

It is not a de Polignac number, because 2420330031 - 27 = 2420329903 is a prime.

It is a super-2 number, since 2×24203300312 = 11715994917920921922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2420329986 and 2420330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420330021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2582595 + ... + 2583531.

It is an arithmetic number, because the mean of its divisors is an integer number (65284800).

Almost surely, 22420330031 is an apocalyptic number.

2420330031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2420330031 is a deficient number, since it is larger than the sum of its proper divisors (1757897169).

2420330031 is a wasteful number, since it uses less digits than its factorization.

2420330031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2420330031 is about 49196.8498076859. The cubic root of 2420330031 is about 1342.6357179981.

Adding to 2420330031 its reverse (1300330242), we get a palindrome (3720660273).

The spelling of 2420330031 in words is "two billion, four hundred twenty million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 79 173 189 237 519 553 711 937 1211 1557 1659 2133 2811 3633 4671 4977 6559 8433 10899 13667 14931 19677 25299 32697 41001 59031 74023 95669 123003 162101 177093 222069 287007 369009 486303 518161 666207 861021 1134707 1458909 1554483 1998621 2583063 3404121 4376727 4663449 10212363 12805979 13990347 30637089 38417937 89641853 115253811 268925559 345761433 806776677 2420330031