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2430103431 = 371492632953
BaseRepresentation
bin1001000011011000…
…0110111110000111
320021100200001012210
42100312012332013
514434101302211
61041045314503
7114135352440
oct22066067607
96240601183
102430103431
111037803748
12579a05a33
132c95c8a32
14190a582c7
15e35209a6
hex90d86f87

2430103431 has 32 divisors (see below), whose sum is σ = 3743308800. Its totient is φ = 1373601024.

The previous prime is 2430103399. The next prime is 2430103451. The reversal of 2430103431 is 1343010342.

2430103431 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2430103431 - 25 = 2430103399 is a prime.

It is a super-2 number, since 2×24301034312 = 11810805370715943522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2430103398 and 2430103407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430103451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821451 + ... + 824403.

It is an arithmetic number, because the mean of its divisors is an integer number (116978400).

Almost surely, 22430103431 is an apocalyptic number.

2430103431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2430103431 is a deficient number, since it is larger than the sum of its proper divisors (1313205369).

2430103431 is a wasteful number, since it uses less digits than its factorization.

2430103431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2430103431 is about 49296.0792660025. The cubic root of 2430103431 is about 1344.4404984362.

Adding to 2430103431 its reverse (1343010342), we get a palindrome (3773113773).

The spelling of 2430103431 in words is "two billion, four hundred thirty million, one hundred three thousand, four hundred thirty-one".

Divisors: 1 3 7 21 149 263 447 789 1043 1841 2953 3129 5523 8859 20671 39187 62013 117561 274309 439997 776639 822927 1319991 2329917 3079979 5436473 9239937 16309419 115719211 347157633 810034477 2430103431